[{"data":1,"prerenderedAt":4880},["ShallowReactive",2],{"subject-categories-math":3,"formula-de\u002Fformulas\u002Fmath\u002Falgebra\u002Fdifferenz-dritter-potenzen":546,"formula-related-de\u002Fformulas\u002Fmath\u002Falgebra\u002Fdifferenz-dritter-potenzen":4870},[4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,177,178,179,180,181,182,183,184,185,186,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545],{"category":5},"algebra",{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":5},{"category":65},"arithmetic",{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":65},{"category":101},"calculus",{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":101},{"category":172},"differential-equations",{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":172},{"category":187},"discrete-math",{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":187},{"category":208},"functions",{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":208},{"category":247},"geometry",{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":247},{"category":312},"linear-algebra",{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":312},{"category":368},"multivariable-calculus",{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":368},{"category":391},"numerics",{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":391},{"category":412},"sequences-series",{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":412},{"category":441},"stochastics",{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":441},{"category":518},"trigonometry",{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"category":518},{"id":547,"title":548,"aliases":549,"body":555,"category":5,"checks":4818,"conditions":4842,"conditionsHtml":4842,"deprecated":4842,"description":4811,"extension":4843,"figure":4842,"figureCaption":4842,"figureHtml":4842,"formulaId":4844,"latex":4845,"latexHtml":4846,"level":4847,"meta":4848,"navigation":4849,"path":4850,"redirectFrom":4851,"related":4852,"seo":4856,"stem":4857,"subject":577,"summary":4858,"tags":4859,"variables":4864,"__hash__":4869},"formulas_de\u002Fde\u002Fformulas\u002Fmath\u002Falgebra\u002Fdifferenz-dritter-potenzen.md","Differenz dritter Potenzen",[550,551,552,553,554],"a³ - b³","a hoch 3 minus b hoch 3","Differenz von Kubikzahlen","x³ - 8 faktorisieren","Kubikdifferenz zerlegen",{"type":556,"value":557,"toc":4810},"minimark",[558,563,819,913,1691,1695,1698,2325,2328,2332,2669,3043,3415,3418,3675,3679],[559,560,562],"h2",{"id":561},"erklärung","Erklärung",[564,565,566,567,818],"p",{},"Die Formel zerlegt eine Differenz zweier dritter Potenzen in ein Produkt aus einem linearen und einem quadratischen Faktor. Sie ist das Gegenstück zur dritten binomischen Formel ",[568,569,572,640],"span",{"className":570},[571],"katex",[568,573,576],{"className":574},[575],"katex-mathml",[577,578,580],"math",{"xmlns":579},"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML",[581,582,583,635],"semantics",{},[584,585,586,597,601,608,611,615,617,619,621,624,626,628,631,633],"mrow",{},[587,588,589,593],"msup",{},[590,591,592],"mi",{},"a",[594,595,596],"mn",{},"2",[598,599,600],"mo",{},"−",[587,602,603,606],{},[590,604,605],{},"b",[594,607,596],{},[598,609,610],{},"=",[598,612,614],{"stretchy":613},"false","(",[590,616,592],{},[598,618,600],{},[590,620,605],{},[598,622,623],{"stretchy":613},")",[598,625,614],{"stretchy":613},[590,627,592],{},[598,629,630],{},"+",[590,632,605],{},[598,634,623],{"stretchy":613},[636,637,639],"annotation",{"encoding":638},"application\u002Fx-tex","a^2 - b^2 = (a - b)(a + b)",[568,641,645,709,755,778,806],{"className":642,"ariaHidden":644},[643],"katex-html","true",[568,646,649,654,697,702,706],{"className":647},[648],"base",[568,650],{"className":651,"style":653},[652],"strut","height:0.8974em;vertical-align:-0.0833em;",[568,655,658,662],{"className":656},[657],"mord",[568,659,592],{"className":660},[657,661],"mathnormal",[568,663,666],{"className":664},[665],"msupsub",[568,667,670],{"className":668},[669],"vlist-t",[568,671,674],{"className":672},[673],"vlist-r",[568,675,679],{"className":676,"style":678},[677],"vlist","height:0.8141em;",[568,680,682,687],{"style":681},"top:-3.063em;margin-right:0.05em;",[568,683],{"className":684,"style":686},[685],"pstrut","height:2.7em;",[568,688,694],{"className":689},[690,691,692,693],"sizing","reset-size6","size3","mtight",[568,695,596],{"className":696},[657,693],[568,698],{"className":699,"style":701},[700],"mspace","margin-right:0.2222em;",[568,703,600],{"className":704},[705],"mbin",[568,707],{"className":708,"style":701},[700],[568,710,712,715,744,748,752],{"className":711},[648],[568,713],{"className":714,"style":678},[652],[568,716,718,721],{"className":717},[657],[568,719,605],{"className":720},[657,661],[568,722,724],{"className":723},[665],[568,725,727],{"className":726},[669],[568,728,730],{"className":729},[673],[568,731,733],{"className":732,"style":678},[677],[568,734,735,738],{"style":681},[568,736],{"className":737,"style":686},[685],[568,739,741],{"className":740},[690,691,692,693],[568,742,596],{"className":743},[657,693],[568,745],{"className":746,"style":747},[700],"margin-right:0.2778em;",[568,749,610],{"className":750},[751],"mrel",[568,753],{"className":754,"style":747},[700],[568,756,758,762,766,769,772,775],{"className":757},[648],[568,759],{"className":760,"style":761},[652],"height:1em;vertical-align:-0.25em;",[568,763,614],{"className":764},[765],"mopen",[568,767,592],{"className":768},[657,661],[568,770],{"className":771,"style":701},[700],[568,773,600],{"className":774},[705],[568,776],{"className":777,"style":701},[700],[568,779,781,784,787,791,794,797,800,803],{"className":780},[648],[568,782],{"className":783,"style":761},[652],[568,785,605],{"className":786},[657,661],[568,788,623],{"className":789},[790],"mclose",[568,792,614],{"className":793},[765],[568,795,592],{"className":796},[657,661],[568,798],{"className":799,"style":701},[700],[568,801,630],{"className":802},[705],[568,804],{"className":805,"style":701},[700],[568,807,809,812,815],{"className":808},[648],[568,810],{"className":811,"style":761},[652],[568,813,605],{"className":814},[657,661],[568,816,623],{"className":817},[790],".",[564,820,821,822,826,827,912],{},"Man braucht sie zum ",[823,824,825],"strong",{},"Faktorisieren"," und damit zum Lösen von Gleichungen wie ",[568,828,830,855],{"className":829},[571],[568,831,833],{"className":832},[575],[577,834,835],{"xmlns":579},[581,836,837,852],{},[584,838,839,847,849],{},[587,840,841,844],{},[590,842,843],{},"x",[594,845,846],{},"3",[598,848,610],{},[594,850,851],{},"8",[636,853,854],{"encoding":638},"x^3 = 8",[568,856,858,902],{"className":857,"ariaHidden":644},[643],[568,859,861,864,893,896,899],{"className":860},[648],[568,862],{"className":863,"style":678},[652],[568,865,867,870],{"className":866},[657],[568,868,843],{"className":869},[657,661],[568,871,873],{"className":872},[665],[568,874,876],{"className":875},[669],[568,877,879],{"className":878},[673],[568,880,882],{"className":881,"style":678},[677],[568,883,884,887],{"style":681},[568,885],{"className":886,"style":686},[685],[568,888,890],{"className":889},[690,691,692,693],[568,891,846],{"className":892},[657,693],[568,894],{"className":895,"style":747},[700],[568,897,610],{"className":898},[751],[568,900],{"className":901,"style":747},[700],[568,903,905,909],{"className":904},[648],[568,906],{"className":907,"style":908},[652],"height:0.6444em;",[568,910,851],{"className":911},[657]," oder zum Kürzen von Bruchtermen.",[564,914,915,916,1053,1054,1083,1084,1112,1113,1428,1429,1505,1506,1639,1640,818],{},"Der zweite Faktor ",[568,917,919,951],{"className":918},[571],[568,920,922],{"className":921},[575],[577,923,924],{"xmlns":579},[581,925,926,948],{},[584,927,928,934,936,938,940,942],{},[587,929,930,932],{},[590,931,592],{},[594,933,596],{},[598,935,630],{},[590,937,592],{},[590,939,605],{},[598,941,630],{},[587,943,944,946],{},[590,945,605],{},[594,947,596],{},[636,949,950],{"encoding":638},"a^2 + ab + b^2",[568,952,954,998,1018],{"className":953,"ariaHidden":644},[643],[568,955,957,960,989,992,995],{"className":956},[648],[568,958],{"className":959,"style":653},[652],[568,961,963,966],{"className":962},[657],[568,964,592],{"className":965},[657,661],[568,967,969],{"className":968},[665],[568,970,972],{"className":971},[669],[568,973,975],{"className":974},[673],[568,976,978],{"className":977,"style":678},[677],[568,979,980,983],{"style":681},[568,981],{"className":982,"style":686},[685],[568,984,986],{"className":985},[690,691,692,693],[568,987,596],{"className":988},[657,693],[568,990],{"className":991,"style":701},[700],[568,993,630],{"className":994},[705],[568,996],{"className":997,"style":701},[700],[568,999,1001,1005,1009,1012,1015],{"className":1000},[648],[568,1002],{"className":1003,"style":1004},[652],"height:0.7778em;vertical-align:-0.0833em;",[568,1006,1008],{"className":1007},[657,661],"ab",[568,1010],{"className":1011,"style":701},[700],[568,1013,630],{"className":1014},[705],[568,1016],{"className":1017,"style":701},[700],[568,1019,1021,1024],{"className":1020},[648],[568,1022],{"className":1023,"style":678},[652],[568,1025,1027,1030],{"className":1026},[657],[568,1028,605],{"className":1029},[657,661],[568,1031,1033],{"className":1032},[665],[568,1034,1036],{"className":1035},[669],[568,1037,1039],{"className":1038},[673],[568,1040,1042],{"className":1041,"style":678},[677],[568,1043,1044,1047],{"style":681},[568,1045],{"className":1046,"style":686},[685],[568,1048,1050],{"className":1049},[690,691,692,693],[568,1051,596],{"className":1052},[657,693]," ist kein Binom: Der mittlere Koeffizient ist ",[568,1055,1057,1071],{"className":1056},[571],[568,1058,1060],{"className":1059},[575],[577,1061,1062],{"xmlns":579},[581,1063,1064,1069],{},[584,1065,1066],{},[594,1067,1068],{},"1",[636,1070,1068],{"encoding":638},[568,1072,1074],{"className":1073,"ariaHidden":644},[643],[568,1075,1077,1080],{"className":1076},[648],[568,1078],{"className":1079,"style":908},[652],[568,1081,1068],{"className":1082},[657],", nicht ",[568,1085,1087,1100],{"className":1086},[571],[568,1088,1090],{"className":1089},[575],[577,1091,1092],{"xmlns":579},[581,1093,1094,1098],{},[584,1095,1096],{},[594,1097,596],{},[636,1099,596],{"encoding":638},[568,1101,1103],{"className":1102,"ariaHidden":644},[643],[568,1104,1106,1109],{"className":1105},[648],[568,1107],{"className":1108,"style":908},[652],[568,1110,596],{"className":1111},[657],". Er lässt sich als ",[568,1114,1116,1164],{"className":1115},[571],[568,1117,1119],{"className":1118},[575],[577,1120,1121],{"xmlns":579},[581,1122,1123,1161],{},[584,1124,1125,1146,1148,1155],{},[587,1126,1127,1144],{},[584,1128,1129,1131,1133,1135,1142],{},[598,1130,614],{"fence":644},[590,1132,592],{},[598,1134,630],{},[1136,1137,1138,1140],"mfrac",{},[590,1139,605],{},[594,1141,596],{},[598,1143,623],{"fence":644},[594,1145,596],{},[598,1147,630],{},[1136,1149,1150,1152],{},[594,1151,846],{},[594,1153,1154],{},"4",[587,1156,1157,1159],{},[590,1158,605],{},[594,1160,596],{},[636,1162,1163],{"encoding":638},"\\left(a + \\frac{b}{2}\\right)^2 + \\frac{3}{4}b^2",[568,1165,1167,1323],{"className":1166,"ariaHidden":644},[643],[568,1168,1170,1174,1314,1317,1320],{"className":1169},[648],[568,1171],{"className":1172,"style":1173},[652],"height:1.4341em;vertical-align:-0.35em;",[568,1175,1178,1289],{"className":1176},[1177],"minner",[568,1179,1181,1191,1194,1197,1200,1203,1283],{"className":1180},[1177],[568,1182,1186],{"className":1183,"style":1185},[765,1184],"delimcenter","top:0em;",[568,1187,614],{"className":1188},[1189,1190],"delimsizing","size1",[568,1192,592],{"className":1193},[657,661],[568,1195],{"className":1196,"style":701},[700],[568,1198,630],{"className":1199},[705],[568,1201],{"className":1202,"style":701},[700],[568,1204,1206,1210,1280],{"className":1205},[657],[568,1207],{"className":1208},[765,1209],"nulldelimiter",[568,1211,1213],{"className":1212},[1136],[568,1214,1217,1271],{"className":1215},[669,1216],"vlist-t2",[568,1218,1220,1266],{"className":1219},[673],[568,1221,1224,1240,1251],{"className":1222,"style":1223},[677],"height:0.8801em;",[568,1225,1227,1231],{"style":1226},"top:-2.655em;",[568,1228],{"className":1229,"style":1230},[685],"height:3em;",[568,1232,1234],{"className":1233},[690,691,692,693],[568,1235,1237],{"className":1236},[657,693],[568,1238,596],{"className":1239},[657,693],[568,1241,1243,1246],{"style":1242},"top:-3.23em;",[568,1244],{"className":1245,"style":1230},[685],[568,1247],{"className":1248,"style":1250},[1249],"frac-line","border-bottom-width:0.04em;",[568,1252,1254,1257],{"style":1253},"top:-3.394em;",[568,1255],{"className":1256,"style":1230},[685],[568,1258,1260],{"className":1259},[690,691,692,693],[568,1261,1263],{"className":1262},[657,693],[568,1264,605],{"className":1265},[657,661,693],[568,1267,1270],{"className":1268},[1269],"vlist-s","​",[568,1272,1274],{"className":1273},[673],[568,1275,1278],{"className":1276,"style":1277},[677],"height:0.345em;",[568,1279],{},[568,1281],{"className":1282},[790,1209],[568,1284,1286],{"className":1285,"style":1185},[790,1184],[568,1287,623],{"className":1288},[1189,1190],[568,1290,1292],{"className":1291},[665],[568,1293,1295],{"className":1294},[669],[568,1296,1298],{"className":1297},[673],[568,1299,1302],{"className":1300,"style":1301},[677],"height:1.0841em;",[568,1303,1305,1308],{"style":1304},"top:-3.333em;margin-right:0.05em;",[568,1306],{"className":1307,"style":686},[685],[568,1309,1311],{"className":1310},[690,691,692,693],[568,1312,596],{"className":1313},[657,693],[568,1315],{"className":1316,"style":701},[700],[568,1318,630],{"className":1319},[705],[568,1321],{"className":1322,"style":701},[700],[568,1324,1326,1330,1399],{"className":1325},[648],[568,1327],{"className":1328,"style":1329},[652],"height:1.1901em;vertical-align:-0.345em;",[568,1331,1333,1336,1396],{"className":1332},[657],[568,1334],{"className":1335},[765,1209],[568,1337,1339],{"className":1338},[1136],[568,1340,1342,1388],{"className":1341},[669,1216],[568,1343,1345,1385],{"className":1344},[673],[568,1346,1349,1363,1371],{"className":1347,"style":1348},[677],"height:0.8451em;",[568,1350,1351,1354],{"style":1226},[568,1352],{"className":1353,"style":1230},[685],[568,1355,1357],{"className":1356},[690,691,692,693],[568,1358,1360],{"className":1359},[657,693],[568,1361,1154],{"className":1362},[657,693],[568,1364,1365,1368],{"style":1242},[568,1366],{"className":1367,"style":1230},[685],[568,1369],{"className":1370,"style":1250},[1249],[568,1372,1373,1376],{"style":1253},[568,1374],{"className":1375,"style":1230},[685],[568,1377,1379],{"className":1378},[690,691,692,693],[568,1380,1382],{"className":1381},[657,693],[568,1383,846],{"className":1384},[657,693],[568,1386,1270],{"className":1387},[1269],[568,1389,1391],{"className":1390},[673],[568,1392,1394],{"className":1393,"style":1277},[677],[568,1395],{},[568,1397],{"className":1398},[790,1209],[568,1400,1402,1405],{"className":1401},[657],[568,1403,605],{"className":1404},[657,661],[568,1406,1408],{"className":1407},[665],[568,1409,1411],{"className":1410},[669],[568,1412,1414],{"className":1413},[673],[568,1415,1417],{"className":1416,"style":678},[677],[568,1418,1419,1422],{"style":681},[568,1420],{"className":1421,"style":686},[685],[568,1423,1425],{"className":1424},[690,691,692,693],[568,1426,596],{"className":1427},[657,693]," schreiben und ist deshalb nur für ",[568,1430,1432,1455],{"className":1431},[571],[568,1433,1435],{"className":1434},[575],[577,1436,1437],{"xmlns":579},[581,1438,1439,1452],{},[584,1440,1441,1443,1445,1447,1449],{},[590,1442,592],{},[598,1444,610],{},[590,1446,605],{},[598,1448,610],{},[594,1450,1451],{},"0",[636,1453,1454],{"encoding":638},"a = b = 0",[568,1456,1458,1477,1496],{"className":1457,"ariaHidden":644},[643],[568,1459,1461,1465,1468,1471,1474],{"className":1460},[648],[568,1462],{"className":1463,"style":1464},[652],"height:0.4306em;",[568,1466,592],{"className":1467},[657,661],[568,1469],{"className":1470,"style":747},[700],[568,1472,610],{"className":1473},[751],[568,1475],{"className":1476,"style":747},[700],[568,1478,1480,1484,1487,1490,1493],{"className":1479},[648],[568,1481],{"className":1482,"style":1483},[652],"height:0.6944em;",[568,1485,605],{"className":1486},[657,661],[568,1488],{"className":1489,"style":747},[700],[568,1491,610],{"className":1492},[751],[568,1494],{"className":1495,"style":747},[700],[568,1497,1499,1502],{"className":1498},[648],[568,1500],{"className":1501,"style":908},[652],[568,1503,1451],{"className":1504},[657]," gleich null. Die Gleichung ",[568,1507,1509,1539],{"className":1508},[571],[568,1510,1512],{"className":1511},[575],[577,1513,1514],{"xmlns":579},[581,1515,1516,1536],{},[584,1517,1518,1524,1526,1532,1534],{},[587,1519,1520,1522],{},[590,1521,843],{},[594,1523,846],{},[598,1525,600],{},[587,1527,1528,1530],{},[590,1529,605],{},[594,1531,846],{},[598,1533,610],{},[594,1535,1451],{},[636,1537,1538],{"encoding":638},"x^3 - b^3 = 0",[568,1540,1542,1586,1630],{"className":1541,"ariaHidden":644},[643],[568,1543,1545,1548,1577,1580,1583],{"className":1544},[648],[568,1546],{"className":1547,"style":653},[652],[568,1549,1551,1554],{"className":1550},[657],[568,1552,843],{"className":1553},[657,661],[568,1555,1557],{"className":1556},[665],[568,1558,1560],{"className":1559},[669],[568,1561,1563],{"className":1562},[673],[568,1564,1566],{"className":1565,"style":678},[677],[568,1567,1568,1571],{"style":681},[568,1569],{"className":1570,"style":686},[685],[568,1572,1574],{"className":1573},[690,691,692,693],[568,1575,846],{"className":1576},[657,693],[568,1578],{"className":1579,"style":701},[700],[568,1581,600],{"className":1582},[705],[568,1584],{"className":1585,"style":701},[700],[568,1587,1589,1592,1621,1624,1627],{"className":1588},[648],[568,1590],{"className":1591,"style":678},[652],[568,1593,1595,1598],{"className":1594},[657],[568,1596,605],{"className":1597},[657,661],[568,1599,1601],{"className":1600},[665],[568,1602,1604],{"className":1603},[669],[568,1605,1607],{"className":1606},[673],[568,1608,1610],{"className":1609,"style":678},[677],[568,1611,1612,1615],{"style":681},[568,1613],{"className":1614,"style":686},[685],[568,1616,1618],{"className":1617},[690,691,692,693],[568,1619,846],{"className":1620},[657,693],[568,1622],{"className":1623,"style":747},[700],[568,1625,610],{"className":1626},[751],[568,1628],{"className":1629,"style":747},[700],[568,1631,1633,1636],{"className":1632},[648],[568,1634],{"className":1635,"style":908},[652],[568,1637,1451],{"className":1638},[657]," hat daher nur die eine reelle Lösung ",[568,1641,1643,1661],{"className":1642},[571],[568,1644,1646],{"className":1645},[575],[577,1647,1648],{"xmlns":579},[581,1649,1650,1658],{},[584,1651,1652,1654,1656],{},[590,1653,843],{},[598,1655,610],{},[590,1657,605],{},[636,1659,1660],{"encoding":638},"x = b",[568,1662,1664,1682],{"className":1663,"ariaHidden":644},[643],[568,1665,1667,1670,1673,1676,1679],{"className":1666},[648],[568,1668],{"className":1669,"style":1464},[652],[568,1671,843],{"className":1672},[657,661],[568,1674],{"className":1675,"style":747},[700],[568,1677,610],{"className":1678},[751],[568,1680],{"className":1681,"style":747},[700],[568,1683,1685,1688],{"className":1684},[648],[568,1686],{"className":1687,"style":1483},[652],[568,1689,605],{"className":1690},[657,661],[559,1692,1694],{"id":1693},"herleitung","Herleitung",[564,1696,1697],{},"Ausmultiplizieren der rechten Seite:",[568,1699,1702],{"className":1700},[1701],"katex-display",[568,1703,1705,1824],{"className":1704},[571],[568,1706,1708],{"className":1707},[575],[577,1709,1711],{"xmlns":579,"display":1710},"block",[581,1712,1713,1821],{},[584,1714,1715,1717,1719,1721,1723,1725,1727,1733,1735,1737,1739,1741,1747,1749,1751,1757,1759,1765,1767,1769,1771,1777,1779,1785,1787,1789,1791,1797,1799,1805,1807,1813,1815],{},[598,1716,614],{"stretchy":613},[590,1718,592],{},[598,1720,600],{},[590,1722,605],{},[598,1724,623],{"stretchy":613},[598,1726,614],{"stretchy":613},[587,1728,1729,1731],{},[590,1730,592],{},[594,1732,596],{},[598,1734,630],{},[590,1736,592],{},[590,1738,605],{},[598,1740,630],{},[587,1742,1743,1745],{},[590,1744,605],{},[594,1746,596],{},[598,1748,623],{"stretchy":613},[598,1750,610],{},[587,1752,1753,1755],{},[590,1754,592],{},[594,1756,846],{},[598,1758,630],{},[587,1760,1761,1763],{},[590,1762,592],{},[594,1764,596],{},[590,1766,605],{},[598,1768,630],{},[590,1770,592],{},[587,1772,1773,1775],{},[590,1774,605],{},[594,1776,596],{},[598,1778,600],{},[587,1780,1781,1783],{},[590,1782,592],{},[594,1784,596],{},[590,1786,605],{},[598,1788,600],{},[590,1790,592],{},[587,1792,1793,1795],{},[590,1794,605],{},[594,1796,596],{},[598,1798,600],{},[587,1800,1801,1803],{},[590,1802,605],{},[594,1804,846],{},[598,1806,610],{},[587,1808,1809,1811],{},[590,1810,592],{},[594,1812,846],{},[598,1814,600],{},[587,1816,1817,1819],{},[590,1818,605],{},[594,1820,846],{},[636,1822,1823],{"encoding":638},"(a - b)(a^2 + ab + b^2) = a^3 + a^2b + ab^2 - a^2b - ab^2 - b^3 = a^3 - b^3",[568,1825,1827,1848,1904,1922,1969,2014,2061,2108,2155,2202,2246,2290],{"className":1826,"ariaHidden":644},[643],[568,1828,1830,1833,1836,1839,1842,1845],{"className":1829},[648],[568,1831],{"className":1832,"style":761},[652],[568,1834,614],{"className":1835},[765],[568,1837,592],{"className":1838},[657,661],[568,1840],{"className":1841,"style":701},[700],[568,1843,600],{"className":1844},[705],[568,1846],{"className":1847,"style":701},[700],[568,1849,1851,1855,1858,1861,1864,1895,1898,1901],{"className":1850},[648],[568,1852],{"className":1853,"style":1854},[652],"height:1.1141em;vertical-align:-0.25em;",[568,1856,605],{"className":1857},[657,661],[568,1859,623],{"className":1860},[790],[568,1862,614],{"className":1863},[765],[568,1865,1867,1870],{"className":1866},[657],[568,1868,592],{"className":1869},[657,661],[568,1871,1873],{"className":1872},[665],[568,1874,1876],{"className":1875},[669],[568,1877,1879],{"className":1878},[673],[568,1880,1883],{"className":1881,"style":1882},[677],"height:0.8641em;",[568,1884,1886,1889],{"style":1885},"top:-3.113em;margin-right:0.05em;",[568,1887],{"className":1888,"style":686},[685],[568,1890,1892],{"className":1891},[690,691,692,693],[568,1893,596],{"className":1894},[657,693],[568,1896],{"className":1897,"style":701},[700],[568,1899,630],{"className":1900},[705],[568,1902],{"className":1903,"style":701},[700],[568,1905,1907,1910,1913,1916,1919],{"className":1906},[648],[568,1908],{"className":1909,"style":1004},[652],[568,1911,1008],{"className":1912},[657,661],[568,1914],{"className":1915,"style":701},[700],[568,1917,630],{"className":1918},[705],[568,1920],{"className":1921,"style":701},[700],[568,1923,1925,1928,1957,1960,1963,1966],{"className":1924},[648],[568,1926],{"className":1927,"style":1854},[652],[568,1929,1931,1934],{"className":1930},[657],[568,1932,605],{"className":1933},[657,661],[568,1935,1937],{"className":1936},[665],[568,1938,1940],{"className":1939},[669],[568,1941,1943],{"className":1942},[673],[568,1944,1946],{"className":1945,"style":1882},[677],[568,1947,1948,1951],{"style":1885},[568,1949],{"className":1950,"style":686},[685],[568,1952,1954],{"className":1953},[690,691,692,693],[568,1955,596],{"className":1956},[657,693],[568,1958,623],{"className":1959},[790],[568,1961],{"className":1962,"style":747},[700],[568,1964,610],{"className":1965},[751],[568,1967],{"className":1968,"style":747},[700],[568,1970,1972,1976,2005,2008,2011],{"className":1971},[648],[568,1973],{"className":1974,"style":1975},[652],"height:0.9474em;vertical-align:-0.0833em;",[568,1977,1979,1982],{"className":1978},[657],[568,1980,592],{"className":1981},[657,661],[568,1983,1985],{"className":1984},[665],[568,1986,1988],{"className":1987},[669],[568,1989,1991],{"className":1990},[673],[568,1992,1994],{"className":1993,"style":1882},[677],[568,1995,1996,1999],{"style":1885},[568,1997],{"className":1998,"style":686},[685],[568,2000,2002],{"className":2001},[690,691,692,693],[568,2003,846],{"className":2004},[657,693],[568,2006],{"className":2007,"style":701},[700],[568,2009,630],{"className":2010},[705],[568,2012],{"className":2013,"style":701},[700],[568,2015,2017,2020,2049,2052,2055,2058],{"className":2016},[648],[568,2018],{"className":2019,"style":1975},[652],[568,2021,2023,2026],{"className":2022},[657],[568,2024,592],{"className":2025},[657,661],[568,2027,2029],{"className":2028},[665],[568,2030,2032],{"className":2031},[669],[568,2033,2035],{"className":2034},[673],[568,2036,2038],{"className":2037,"style":1882},[677],[568,2039,2040,2043],{"style":1885},[568,2041],{"className":2042,"style":686},[685],[568,2044,2046],{"className":2045},[690,691,692,693],[568,2047,596],{"className":2048},[657,693],[568,2050,605],{"className":2051},[657,661],[568,2053],{"className":2054,"style":701},[700],[568,2056,630],{"className":2057},[705],[568,2059],{"className":2060,"style":701},[700],[568,2062,2064,2067,2070,2099,2102,2105],{"className":2063},[648],[568,2065],{"className":2066,"style":1975},[652],[568,2068,592],{"className":2069},[657,661],[568,2071,2073,2076],{"className":2072},[657],[568,2074,605],{"className":2075},[657,661],[568,2077,2079],{"className":2078},[665],[568,2080,2082],{"className":2081},[669],[568,2083,2085],{"className":2084},[673],[568,2086,2088],{"className":2087,"style":1882},[677],[568,2089,2090,2093],{"style":1885},[568,2091],{"className":2092,"style":686},[685],[568,2094,2096],{"className":2095},[690,691,692,693],[568,2097,596],{"className":2098},[657,693],[568,2100],{"className":2101,"style":701},[700],[568,2103,600],{"className":2104},[705],[568,2106],{"className":2107,"style":701},[700],[568,2109,2111,2114,2143,2146,2149,2152],{"className":2110},[648],[568,2112],{"className":2113,"style":1975},[652],[568,2115,2117,2120],{"className":2116},[657],[568,2118,592],{"className":2119},[657,661],[568,2121,2123],{"className":2122},[665],[568,2124,2126],{"className":2125},[669],[568,2127,2129],{"className":2128},[673],[568,2130,2132],{"className":2131,"style":1882},[677],[568,2133,2134,2137],{"style":1885},[568,2135],{"className":2136,"style":686},[685],[568,2138,2140],{"className":2139},[690,691,692,693],[568,2141,596],{"className":2142},[657,693],[568,2144,605],{"className":2145},[657,661],[568,2147],{"className":2148,"style":701},[700],[568,2150,600],{"className":2151},[705],[568,2153],{"className":2154,"style":701},[700],[568,2156,2158,2161,2164,2193,2196,2199],{"className":2157},[648],[568,2159],{"className":2160,"style":1975},[652],[568,2162,592],{"className":2163},[657,661],[568,2165,2167,2170],{"className":2166},[657],[568,2168,605],{"className":2169},[657,661],[568,2171,2173],{"className":2172},[665],[568,2174,2176],{"className":2175},[669],[568,2177,2179],{"className":2178},[673],[568,2180,2182],{"className":2181,"style":1882},[677],[568,2183,2184,2187],{"style":1885},[568,2185],{"className":2186,"style":686},[685],[568,2188,2190],{"className":2189},[690,691,692,693],[568,2191,596],{"className":2192},[657,693],[568,2194],{"className":2195,"style":701},[700],[568,2197,600],{"className":2198},[705],[568,2200],{"className":2201,"style":701},[700],[568,2203,2205,2208,2237,2240,2243],{"className":2204},[648],[568,2206],{"className":2207,"style":1882},[652],[568,2209,2211,2214],{"className":2210},[657],[568,2212,605],{"className":2213},[657,661],[568,2215,2217],{"className":2216},[665],[568,2218,2220],{"className":2219},[669],[568,2221,2223],{"className":2222},[673],[568,2224,2226],{"className":2225,"style":1882},[677],[568,2227,2228,2231],{"style":1885},[568,2229],{"className":2230,"style":686},[685],[568,2232,2234],{"className":2233},[690,691,692,693],[568,2235,846],{"className":2236},[657,693],[568,2238],{"className":2239,"style":747},[700],[568,2241,610],{"className":2242},[751],[568,2244],{"className":2245,"style":747},[700],[568,2247,2249,2252,2281,2284,2287],{"className":2248},[648],[568,2250],{"className":2251,"style":1975},[652],[568,2253,2255,2258],{"className":2254},[657],[568,2256,592],{"className":2257},[657,661],[568,2259,2261],{"className":2260},[665],[568,2262,2264],{"className":2263},[669],[568,2265,2267],{"className":2266},[673],[568,2268,2270],{"className":2269,"style":1882},[677],[568,2271,2272,2275],{"style":1885},[568,2273],{"className":2274,"style":686},[685],[568,2276,2278],{"className":2277},[690,691,692,693],[568,2279,846],{"className":2280},[657,693],[568,2282],{"className":2283,"style":701},[700],[568,2285,600],{"className":2286},[705],[568,2288],{"className":2289,"style":701},[700],[568,2291,2293,2296],{"className":2292},[648],[568,2294],{"className":2295,"style":1882},[652],[568,2297,2299,2302],{"className":2298},[657],[568,2300,605],{"className":2301},[657,661],[568,2303,2305],{"className":2304},[665],[568,2306,2308],{"className":2307},[669],[568,2309,2311],{"className":2310},[673],[568,2312,2314],{"className":2313,"style":1882},[677],[568,2315,2316,2319],{"style":1885},[568,2317],{"className":2318,"style":686},[685],[568,2320,2322],{"className":2321},[690,691,692,693],[568,2323,846],{"className":2324},[657,693],[564,2326,2327],{},"Die gemischten Glieder heben sich paarweise auf.",[559,2329,2331],{"id":2330},"beispiele","Beispiele",[568,2333,2335],{"className":2334},[1701],[568,2336,2338,2408],{"className":2337},[571],[568,2339,2341],{"className":2340},[575],[577,2342,2343],{"xmlns":579,"display":1710},[581,2344,2345,2405],{},[584,2346,2347,2353,2355,2357,2359,2365,2367,2373,2375,2377,2379,2381,2383,2385,2387,2393,2395,2397,2399,2401,2403],{},[587,2348,2349,2351],{},[590,2350,843],{},[594,2352,846],{},[598,2354,600],{},[594,2356,851],{},[598,2358,610],{},[587,2360,2361,2363],{},[590,2362,843],{},[594,2364,846],{},[598,2366,600],{},[587,2368,2369,2371],{},[594,2370,596],{},[594,2372,846],{},[598,2374,610],{},[598,2376,614],{"stretchy":613},[590,2378,843],{},[598,2380,600],{},[594,2382,596],{},[598,2384,623],{"stretchy":613},[598,2386,614],{"stretchy":613},[587,2388,2389,2391],{},[590,2390,843],{},[594,2392,596],{},[598,2394,630],{},[594,2396,596],{},[590,2398,843],{},[598,2400,630],{},[594,2402,1154],{},[598,2404,623],{"stretchy":613},[636,2406,2407],{"encoding":638},"x^3 - 8 = x^3 - 2^3 = (x - 2)(x^2 + 2x + 4)",[568,2409,2411,2455,2473,2517,2561,2582,2635,2657],{"className":2410,"ariaHidden":644},[643],[568,2412,2414,2417,2446,2449,2452],{"className":2413},[648],[568,2415],{"className":2416,"style":1975},[652],[568,2418,2420,2423],{"className":2419},[657],[568,2421,843],{"className":2422},[657,661],[568,2424,2426],{"className":2425},[665],[568,2427,2429],{"className":2428},[669],[568,2430,2432],{"className":2431},[673],[568,2433,2435],{"className":2434,"style":1882},[677],[568,2436,2437,2440],{"style":1885},[568,2438],{"className":2439,"style":686},[685],[568,2441,2443],{"className":2442},[690,691,692,693],[568,2444,846],{"className":2445},[657,693],[568,2447],{"className":2448,"style":701},[700],[568,2450,600],{"className":2451},[705],[568,2453],{"className":2454,"style":701},[700],[568,2456,2458,2461,2464,2467,2470],{"className":2457},[648],[568,2459],{"className":2460,"style":908},[652],[568,2462,851],{"className":2463},[657],[568,2465],{"className":2466,"style":747},[700],[568,2468,610],{"className":2469},[751],[568,2471],{"className":2472,"style":747},[700],[568,2474,2476,2479,2508,2511,2514],{"className":2475},[648],[568,2477],{"className":2478,"style":1975},[652],[568,2480,2482,2485],{"className":2481},[657],[568,2483,843],{"className":2484},[657,661],[568,2486,2488],{"className":2487},[665],[568,2489,2491],{"className":2490},[669],[568,2492,2494],{"className":2493},[673],[568,2495,2497],{"className":2496,"style":1882},[677],[568,2498,2499,2502],{"style":1885},[568,2500],{"className":2501,"style":686},[685],[568,2503,2505],{"className":2504},[690,691,692,693],[568,2506,846],{"className":2507},[657,693],[568,2509],{"className":2510,"style":701},[700],[568,2512,600],{"className":2513},[705],[568,2515],{"className":2516,"style":701},[700],[568,2518,2520,2523,2552,2555,2558],{"className":2519},[648],[568,2521],{"className":2522,"style":1882},[652],[568,2524,2526,2529],{"className":2525},[657],[568,2527,596],{"className":2528},[657],[568,2530,2532],{"className":2531},[665],[568,2533,2535],{"className":2534},[669],[568,2536,2538],{"className":2537},[673],[568,2539,2541],{"className":2540,"style":1882},[677],[568,2542,2543,2546],{"style":1885},[568,2544],{"className":2545,"style":686},[685],[568,2547,2549],{"className":2548},[690,691,692,693],[568,2550,846],{"className":2551},[657,693],[568,2553],{"className":2554,"style":747},[700],[568,2556,610],{"className":2557},[751],[568,2559],{"className":2560,"style":747},[700],[568,2562,2564,2567,2570,2573,2576,2579],{"className":2563},[648],[568,2565],{"className":2566,"style":761},[652],[568,2568,614],{"className":2569},[765],[568,2571,843],{"className":2572},[657,661],[568,2574],{"className":2575,"style":701},[700],[568,2577,600],{"className":2578},[705],[568,2580],{"className":2581,"style":701},[700],[568,2583,2585,2588,2591,2594,2597,2626,2629,2632],{"className":2584},[648],[568,2586],{"className":2587,"style":1854},[652],[568,2589,596],{"className":2590},[657],[568,2592,623],{"className":2593},[790],[568,2595,614],{"className":2596},[765],[568,2598,2600,2603],{"className":2599},[657],[568,2601,843],{"className":2602},[657,661],[568,2604,2606],{"className":2605},[665],[568,2607,2609],{"className":2608},[669],[568,2610,2612],{"className":2611},[673],[568,2613,2615],{"className":2614,"style":1882},[677],[568,2616,2617,2620],{"style":1885},[568,2618],{"className":2619,"style":686},[685],[568,2621,2623],{"className":2622},[690,691,692,693],[568,2624,596],{"className":2625},[657,693],[568,2627],{"className":2628,"style":701},[700],[568,2630,630],{"className":2631},[705],[568,2633],{"className":2634,"style":701},[700],[568,2636,2638,2642,2645,2648,2651,2654],{"className":2637},[648],[568,2639],{"className":2640,"style":2641},[652],"height:0.7278em;vertical-align:-0.0833em;",[568,2643,596],{"className":2644},[657],[568,2646,843],{"className":2647},[657,661],[568,2649],{"className":2650,"style":701},[700],[568,2652,630],{"className":2653},[705],[568,2655],{"className":2656,"style":701},[700],[568,2658,2660,2663,2666],{"className":2659},[648],[568,2661],{"className":2662,"style":761},[652],[568,2664,1154],{"className":2665},[657],[568,2667,623],{"className":2668},[790],[564,2670,2671,2672,2887,2888,2991,2992,818],{},"Da ",[568,2673,2675,2723],{"className":2674},[571],[568,2676,2678],{"className":2677},[575],[577,2679,2680],{"xmlns":579},[581,2681,2682,2720],{},[584,2683,2684,2690,2692,2694,2696,2698,2700,2702,2704,2706,2708,2710,2716,2718],{},[587,2685,2686,2688],{},[590,2687,843],{},[594,2689,596],{},[598,2691,630],{},[594,2693,596],{},[590,2695,843],{},[598,2697,630],{},[594,2699,1154],{},[598,2701,610],{},[598,2703,614],{"stretchy":613},[590,2705,843],{},[598,2707,630],{},[594,2709,1068],{},[587,2711,2712,2714],{},[598,2713,623],{"stretchy":613},[594,2715,596],{},[598,2717,630],{},[594,2719,846],{},[636,2721,2722],{"encoding":638},"x^2 + 2x + 4 = (x + 1)^2 + 3",[568,2724,2726,2770,2791,2809,2830,2878],{"className":2725,"ariaHidden":644},[643],[568,2727,2729,2732,2761,2764,2767],{"className":2728},[648],[568,2730],{"className":2731,"style":653},[652],[568,2733,2735,2738],{"className":2734},[657],[568,2736,843],{"className":2737},[657,661],[568,2739,2741],{"className":2740},[665],[568,2742,2744],{"className":2743},[669],[568,2745,2747],{"className":2746},[673],[568,2748,2750],{"className":2749,"style":678},[677],[568,2751,2752,2755],{"style":681},[568,2753],{"className":2754,"style":686},[685],[568,2756,2758],{"className":2757},[690,691,692,693],[568,2759,596],{"className":2760},[657,693],[568,2762],{"className":2763,"style":701},[700],[568,2765,630],{"className":2766},[705],[568,2768],{"className":2769,"style":701},[700],[568,2771,2773,2776,2779,2782,2785,2788],{"className":2772},[648],[568,2774],{"className":2775,"style":2641},[652],[568,2777,596],{"className":2778},[657],[568,2780,843],{"className":2781},[657,661],[568,2783],{"className":2784,"style":701},[700],[568,2786,630],{"className":2787},[705],[568,2789],{"className":2790,"style":701},[700],[568,2792,2794,2797,2800,2803,2806],{"className":2793},[648],[568,2795],{"className":2796,"style":908},[652],[568,2798,1154],{"className":2799},[657],[568,2801],{"className":2802,"style":747},[700],[568,2804,610],{"className":2805},[751],[568,2807],{"className":2808,"style":747},[700],[568,2810,2812,2815,2818,2821,2824,2827],{"className":2811},[648],[568,2813],{"className":2814,"style":761},[652],[568,2816,614],{"className":2817},[765],[568,2819,843],{"className":2820},[657,661],[568,2822],{"className":2823,"style":701},[700],[568,2825,630],{"className":2826},[705],[568,2828],{"className":2829,"style":701},[700],[568,2831,2833,2837,2840,2869,2872,2875],{"className":2832},[648],[568,2834],{"className":2835,"style":2836},[652],"height:1.0641em;vertical-align:-0.25em;",[568,2838,1068],{"className":2839},[657],[568,2841,2843,2846],{"className":2842},[790],[568,2844,623],{"className":2845},[790],[568,2847,2849],{"className":2848},[665],[568,2850,2852],{"className":2851},[669],[568,2853,2855],{"className":2854},[673],[568,2856,2858],{"className":2857,"style":678},[677],[568,2859,2860,2863],{"style":681},[568,2861],{"className":2862,"style":686},[685],[568,2864,2866],{"className":2865},[690,691,692,693],[568,2867,596],{"className":2868},[657,693],[568,2870],{"className":2871,"style":701},[700],[568,2873,630],{"className":2874},[705],[568,2876],{"className":2877,"style":701},[700],[568,2879,2881,2884],{"className":2880},[648],[568,2882],{"className":2883,"style":908},[652],[568,2885,846],{"className":2886},[657]," nie null ist, hat ",[568,2889,2891,2917],{"className":2890},[571],[568,2892,2894],{"className":2893},[575],[577,2895,2896],{"xmlns":579},[581,2897,2898,2914],{},[584,2899,2900,2906,2908,2910,2912],{},[587,2901,2902,2904],{},[590,2903,843],{},[594,2905,846],{},[598,2907,600],{},[594,2909,851],{},[598,2911,610],{},[594,2913,1451],{},[636,2915,2916],{"encoding":638},"x^3 - 8 = 0",[568,2918,2920,2964,2982],{"className":2919,"ariaHidden":644},[643],[568,2921,2923,2926,2955,2958,2961],{"className":2922},[648],[568,2924],{"className":2925,"style":653},[652],[568,2927,2929,2932],{"className":2928},[657],[568,2930,843],{"className":2931},[657,661],[568,2933,2935],{"className":2934},[665],[568,2936,2938],{"className":2937},[669],[568,2939,2941],{"className":2940},[673],[568,2942,2944],{"className":2943,"style":678},[677],[568,2945,2946,2949],{"style":681},[568,2947],{"className":2948,"style":686},[685],[568,2950,2952],{"className":2951},[690,691,692,693],[568,2953,846],{"className":2954},[657,693],[568,2956],{"className":2957,"style":701},[700],[568,2959,600],{"className":2960},[705],[568,2962],{"className":2963,"style":701},[700],[568,2965,2967,2970,2973,2976,2979],{"className":2966},[648],[568,2968],{"className":2969,"style":908},[652],[568,2971,851],{"className":2972},[657],[568,2974],{"className":2975,"style":747},[700],[568,2977,610],{"className":2978},[751],[568,2980],{"className":2981,"style":747},[700],[568,2983,2985,2988],{"className":2984},[648],[568,2986],{"className":2987,"style":908},[652],[568,2989,1451],{"className":2990},[657]," nur die Lösung ",[568,2993,2995,3013],{"className":2994},[571],[568,2996,2998],{"className":2997},[575],[577,2999,3000],{"xmlns":579},[581,3001,3002,3010],{},[584,3003,3004,3006,3008],{},[590,3005,843],{},[598,3007,610],{},[594,3009,596],{},[636,3011,3012],{"encoding":638},"x = 2",[568,3014,3016,3034],{"className":3015,"ariaHidden":644},[643],[568,3017,3019,3022,3025,3028,3031],{"className":3018},[648],[568,3020],{"className":3021,"style":1464},[652],[568,3023,843],{"className":3024},[657,661],[568,3026],{"className":3027,"style":747},[700],[568,3029,610],{"className":3030},[751],[568,3032],{"className":3033,"style":747},[700],[568,3035,3037,3040],{"className":3036},[648],[568,3038],{"className":3039,"style":908},[652],[568,3041,596],{"className":3042},[657],[568,3044,3046],{"className":3045},[1701],[568,3047,3049,3134],{"className":3048},[571],[568,3050,3052],{"className":3051},[575],[577,3053,3054],{"xmlns":579,"display":1710},[581,3055,3056,3131],{},[584,3057,3058,3061,3068,3070,3072,3074,3076,3078,3080,3086,3088,3094,3096,3098,3100,3102,3104,3106,3108,3110,3113,3119,3121,3123,3125,3127,3129],{},[594,3059,3060],{},"27",[587,3062,3063,3066],{},[590,3064,3065],{},"y",[594,3067,846],{},[598,3069,600],{},[594,3071,1068],{},[598,3073,610],{},[598,3075,614],{"stretchy":613},[594,3077,846],{},[590,3079,3065],{},[587,3081,3082,3084],{},[598,3083,623],{"stretchy":613},[594,3085,846],{},[598,3087,600],{},[587,3089,3090,3092],{},[594,3091,1068],{},[594,3093,846],{},[598,3095,610],{},[598,3097,614],{"stretchy":613},[594,3099,846],{},[590,3101,3065],{},[598,3103,600],{},[594,3105,1068],{},[598,3107,623],{"stretchy":613},[598,3109,614],{"stretchy":613},[594,3111,3112],{},"9",[587,3114,3115,3117],{},[590,3116,3065],{},[594,3118,596],{},[598,3120,630],{},[594,3122,846],{},[590,3124,3065],{},[598,3126,630],{},[594,3128,1068],{},[598,3130,623],{"stretchy":613},[636,3132,3133],{"encoding":638},"27y^3 - 1 = (3y)^3 - 1^3 = (3y - 1)(9y^2 + 3y + 1)",[568,3135,3137,3186,3204,3257,3301,3325,3381,3403],{"className":3136,"ariaHidden":644},[643],[568,3138,3140,3144,3147,3177,3180,3183],{"className":3139},[648],[568,3141],{"className":3142,"style":3143},[652],"height:1.0585em;vertical-align:-0.1944em;",[568,3145,3060],{"className":3146},[657],[568,3148,3150,3154],{"className":3149},[657],[568,3151,3065],{"className":3152,"style":3153},[657,661],"margin-right:0.0359em;",[568,3155,3157],{"className":3156},[665],[568,3158,3160],{"className":3159},[669],[568,3161,3163],{"className":3162},[673],[568,3164,3166],{"className":3165,"style":1882},[677],[568,3167,3168,3171],{"style":1885},[568,3169],{"className":3170,"style":686},[685],[568,3172,3174],{"className":3173},[690,691,692,693],[568,3175,846],{"className":3176},[657,693],[568,3178],{"className":3179,"style":701},[700],[568,3181,600],{"className":3182},[705],[568,3184],{"className":3185,"style":701},[700],[568,3187,3189,3192,3195,3198,3201],{"className":3188},[648],[568,3190],{"className":3191,"style":908},[652],[568,3193,1068],{"className":3194},[657],[568,3196],{"className":3197,"style":747},[700],[568,3199,610],{"className":3200},[751],[568,3202],{"className":3203,"style":747},[700],[568,3205,3207,3210,3213,3216,3219,3248,3251,3254],{"className":3206},[648],[568,3208],{"className":3209,"style":1854},[652],[568,3211,614],{"className":3212},[765],[568,3214,846],{"className":3215},[657],[568,3217,3065],{"className":3218,"style":3153},[657,661],[568,3220,3222,3225],{"className":3221},[790],[568,3223,623],{"className":3224},[790],[568,3226,3228],{"className":3227},[665],[568,3229,3231],{"className":3230},[669],[568,3232,3234],{"className":3233},[673],[568,3235,3237],{"className":3236,"style":1882},[677],[568,3238,3239,3242],{"style":1885},[568,3240],{"className":3241,"style":686},[685],[568,3243,3245],{"className":3244},[690,691,692,693],[568,3246,846],{"className":3247},[657,693],[568,3249],{"className":3250,"style":701},[700],[568,3252,600],{"className":3253},[705],[568,3255],{"className":3256,"style":701},[700],[568,3258,3260,3263,3292,3295,3298],{"className":3259},[648],[568,3261],{"className":3262,"style":1882},[652],[568,3264,3266,3269],{"className":3265},[657],[568,3267,1068],{"className":3268},[657],[568,3270,3272],{"className":3271},[665],[568,3273,3275],{"className":3274},[669],[568,3276,3278],{"className":3277},[673],[568,3279,3281],{"className":3280,"style":1882},[677],[568,3282,3283,3286],{"style":1885},[568,3284],{"className":3285,"style":686},[685],[568,3287,3289],{"className":3288},[690,691,692,693],[568,3290,846],{"className":3291},[657,693],[568,3293],{"className":3294,"style":747},[700],[568,3296,610],{"className":3297},[751],[568,3299],{"className":3300,"style":747},[700],[568,3302,3304,3307,3310,3313,3316,3319,3322],{"className":3303},[648],[568,3305],{"className":3306,"style":761},[652],[568,3308,614],{"className":3309},[765],[568,3311,846],{"className":3312},[657],[568,3314,3065],{"className":3315,"style":3153},[657,661],[568,3317],{"className":3318,"style":701},[700],[568,3320,600],{"className":3321},[705],[568,3323],{"className":3324,"style":701},[700],[568,3326,3328,3331,3334,3337,3340,3343,3372,3375,3378],{"className":3327},[648],[568,3329],{"className":3330,"style":1854},[652],[568,3332,1068],{"className":3333},[657],[568,3335,623],{"className":3336},[790],[568,3338,614],{"className":3339},[765],[568,3341,3112],{"className":3342},[657],[568,3344,3346,3349],{"className":3345},[657],[568,3347,3065],{"className":3348,"style":3153},[657,661],[568,3350,3352],{"className":3351},[665],[568,3353,3355],{"className":3354},[669],[568,3356,3358],{"className":3357},[673],[568,3359,3361],{"className":3360,"style":1882},[677],[568,3362,3363,3366],{"style":1885},[568,3364],{"className":3365,"style":686},[685],[568,3367,3369],{"className":3368},[690,691,692,693],[568,3370,596],{"className":3371},[657,693],[568,3373],{"className":3374,"style":701},[700],[568,3376,630],{"className":3377},[705],[568,3379],{"className":3380,"style":701},[700],[568,3382,3384,3388,3391,3394,3397,3400],{"className":3383},[648],[568,3385],{"className":3386,"style":3387},[652],"height:0.8389em;vertical-align:-0.1944em;",[568,3389,846],{"className":3390},[657],[568,3392,3065],{"className":3393,"style":3153},[657,661],[568,3395],{"className":3396,"style":701},[700],[568,3398,630],{"className":3399},[705],[568,3401],{"className":3402,"style":701},[700],[568,3404,3406,3409,3412],{"className":3405},[648],[568,3407],{"className":3408,"style":761},[652],[568,3410,1068],{"className":3411},[657],[568,3413,623],{"className":3414},[790],[564,3416,3417],{},"Kopfrechnen:",[568,3419,3421],{"className":3420},[1701],[568,3422,3424,3485],{"className":3423},[571],[568,3425,3427],{"className":3426},[575],[577,3428,3429],{"xmlns":579,"display":1710},[581,3430,3431,3482],{},[584,3432,3433,3440,3442,3448,3450,3452,3454,3456,3458,3460,3462,3465,3467,3470,3472,3475,3477,3479],{},[587,3434,3435,3438],{},[594,3436,3437],{},"10",[594,3439,846],{},[598,3441,600],{},[587,3443,3444,3446],{},[594,3445,3112],{},[594,3447,846],{},[598,3449,610],{},[598,3451,614],{"stretchy":613},[594,3453,3437],{},[598,3455,600],{},[594,3457,3112],{},[598,3459,623],{"stretchy":613},[598,3461,614],{"stretchy":613},[594,3463,3464],{},"100",[598,3466,630],{},[594,3468,3469],{},"90",[598,3471,630],{},[594,3473,3474],{},"81",[598,3476,623],{"stretchy":613},[598,3478,610],{},[594,3480,3481],{},"271",[636,3483,3484],{"encoding":638},"10^3 - 9^3 = (10 - 9)(100 + 90 + 81) = 271",[568,3486,3488,3535,3579,3600,3627,3645,3666],{"className":3487,"ariaHidden":644},[643],[568,3489,3491,3494,3497,3526,3529,3532],{"className":3490},[648],[568,3492],{"className":3493,"style":1975},[652],[568,3495,1068],{"className":3496},[657],[568,3498,3500,3503],{"className":3499},[657],[568,3501,1451],{"className":3502},[657],[568,3504,3506],{"className":3505},[665],[568,3507,3509],{"className":3508},[669],[568,3510,3512],{"className":3511},[673],[568,3513,3515],{"className":3514,"style":1882},[677],[568,3516,3517,3520],{"style":1885},[568,3518],{"className":3519,"style":686},[685],[568,3521,3523],{"className":3522},[690,691,692,693],[568,3524,846],{"className":3525},[657,693],[568,3527],{"className":3528,"style":701},[700],[568,3530,600],{"className":3531},[705],[568,3533],{"className":3534,"style":701},[700],[568,3536,3538,3541,3570,3573,3576],{"className":3537},[648],[568,3539],{"className":3540,"style":1882},[652],[568,3542,3544,3547],{"className":3543},[657],[568,3545,3112],{"className":3546},[657],[568,3548,3550],{"className":3549},[665],[568,3551,3553],{"className":3552},[669],[568,3554,3556],{"className":3555},[673],[568,3557,3559],{"className":3558,"style":1882},[677],[568,3560,3561,3564],{"style":1885},[568,3562],{"className":3563,"style":686},[685],[568,3565,3567],{"className":3566},[690,691,692,693],[568,3568,846],{"className":3569},[657,693],[568,3571],{"className":3572,"style":747},[700],[568,3574,610],{"className":3575},[751],[568,3577],{"className":3578,"style":747},[700],[568,3580,3582,3585,3588,3591,3594,3597],{"className":3581},[648],[568,3583],{"className":3584,"style":761},[652],[568,3586,614],{"className":3587},[765],[568,3589,3437],{"className":3590},[657],[568,3592],{"className":3593,"style":701},[700],[568,3595,600],{"className":3596},[705],[568,3598],{"className":3599,"style":701},[700],[568,3601,3603,3606,3609,3612,3615,3618,3621,3624],{"className":3602},[648],[568,3604],{"className":3605,"style":761},[652],[568,3607,3112],{"className":3608},[657],[568,3610,623],{"className":3611},[790],[568,3613,614],{"className":3614},[765],[568,3616,3464],{"className":3617},[657],[568,3619],{"className":3620,"style":701},[700],[568,3622,630],{"className":3623},[705],[568,3625],{"className":3626,"style":701},[700],[568,3628,3630,3633,3636,3639,3642],{"className":3629},[648],[568,3631],{"className":3632,"style":2641},[652],[568,3634,3469],{"className":3635},[657],[568,3637],{"className":3638,"style":701},[700],[568,3640,630],{"className":3641},[705],[568,3643],{"className":3644,"style":701},[700],[568,3646,3648,3651,3654,3657,3660,3663],{"className":3647},[648],[568,3649],{"className":3650,"style":761},[652],[568,3652,3474],{"className":3653},[657],[568,3655,623],{"className":3656},[790],[568,3658],{"className":3659,"style":747},[700],[568,3661,610],{"className":3662},[751],[568,3664],{"className":3665,"style":747},[700],[568,3667,3669,3672],{"className":3668},[648],[568,3670],{"className":3671,"style":908},[652],[568,3673,3481],{"className":3674},[657],[559,3676,3678],{"id":3677},"typische-fehler","Typische Fehler",[3680,3681,3682,4137,4325,4583],"ul",{},[3683,3684,3685,3776,3777,3888,3889,4002,4003,818],"li",{},[568,3686,3688,3714],{"className":3687},[571],[568,3689,3691],{"className":3690},[575],[577,3692,3693],{"xmlns":579},[581,3694,3695,3711],{},[584,3696,3697,3699,3701,3703,3705],{},[598,3698,614],{"stretchy":613},[590,3700,592],{},[598,3702,600],{},[590,3704,605],{},[587,3706,3707,3709],{},[598,3708,623],{"stretchy":613},[594,3710,846],{},[636,3712,3713],{"encoding":638},"(a - b)^3",[568,3715,3717,3738],{"className":3716,"ariaHidden":644},[643],[568,3718,3720,3723,3726,3729,3732,3735],{"className":3719},[648],[568,3721],{"className":3722,"style":761},[652],[568,3724,614],{"className":3725},[765],[568,3727,592],{"className":3728},[657,661],[568,3730],{"className":3731,"style":701},[700],[568,3733,600],{"className":3734},[705],[568,3736],{"className":3737,"style":701},[700],[568,3739,3741,3744,3747],{"className":3740},[648],[568,3742],{"className":3743,"style":2836},[652],[568,3745,605],{"className":3746},[657,661],[568,3748,3750,3753],{"className":3749},[790],[568,3751,623],{"className":3752},[790],[568,3754,3756],{"className":3755},[665],[568,3757,3759],{"className":3758},[669],[568,3760,3762],{"className":3761},[673],[568,3763,3765],{"className":3764,"style":678},[677],[568,3766,3767,3770],{"style":681},[568,3768],{"className":3769,"style":686},[685],[568,3771,3773],{"className":3772},[690,691,692,693],[568,3774,846],{"className":3775},[657,693]," mit ",[568,3778,3780,3806],{"className":3779},[571],[568,3781,3783],{"className":3782},[575],[577,3784,3785],{"xmlns":579},[581,3786,3787,3803],{},[584,3788,3789,3795,3797],{},[587,3790,3791,3793],{},[590,3792,592],{},[594,3794,846],{},[598,3796,600],{},[587,3798,3799,3801],{},[590,3800,605],{},[594,3802,846],{},[636,3804,3805],{"encoding":638},"a^3 - b^3",[568,3807,3809,3853],{"className":3808,"ariaHidden":644},[643],[568,3810,3812,3815,3844,3847,3850],{"className":3811},[648],[568,3813],{"className":3814,"style":653},[652],[568,3816,3818,3821],{"className":3817},[657],[568,3819,592],{"className":3820},[657,661],[568,3822,3824],{"className":3823},[665],[568,3825,3827],{"className":3826},[669],[568,3828,3830],{"className":3829},[673],[568,3831,3833],{"className":3832,"style":678},[677],[568,3834,3835,3838],{"style":681},[568,3836],{"className":3837,"style":686},[685],[568,3839,3841],{"className":3840},[690,691,692,693],[568,3842,846],{"className":3843},[657,693],[568,3845],{"className":3846,"style":701},[700],[568,3848,600],{"className":3849},[705],[568,3851],{"className":3852,"style":701},[700],[568,3854,3856,3859],{"className":3855},[648],[568,3857],{"className":3858,"style":678},[652],[568,3860,3862,3865],{"className":3861},[657],[568,3863,605],{"className":3864},[657,661],[568,3866,3868],{"className":3867},[665],[568,3869,3871],{"className":3870},[669],[568,3872,3874],{"className":3873},[673],[568,3875,3877],{"className":3876,"style":678},[677],[568,3878,3879,3882],{"style":681},[568,3880],{"className":3881,"style":686},[685],[568,3883,3885],{"className":3884},[690,691,692,693],[568,3886,846],{"className":3887},[657,693]," verwechseln: ",[568,3890,3892,3922],{"className":3891},[571],[568,3893,3895],{"className":3894},[575],[577,3896,3897],{"xmlns":579},[581,3898,3899,3919],{},[584,3900,3901,3903,3905,3907,3909,3915,3917],{},[598,3902,614],{"stretchy":613},[594,3904,596],{},[598,3906,600],{},[594,3908,1068],{},[587,3910,3911,3913],{},[598,3912,623],{"stretchy":613},[594,3914,846],{},[598,3916,610],{},[594,3918,1068],{},[636,3920,3921],{"encoding":638},"(2 - 1)^3 = 1",[568,3923,3925,3946,3993],{"className":3924,"ariaHidden":644},[643],[568,3926,3928,3931,3934,3937,3940,3943],{"className":3927},[648],[568,3929],{"className":3930,"style":761},[652],[568,3932,614],{"className":3933},[765],[568,3935,596],{"className":3936},[657],[568,3938],{"className":3939,"style":701},[700],[568,3941,600],{"className":3942},[705],[568,3944],{"className":3945,"style":701},[700],[568,3947,3949,3952,3955,3984,3987,3990],{"className":3948},[648],[568,3950],{"className":3951,"style":2836},[652],[568,3953,1068],{"className":3954},[657],[568,3956,3958,3961],{"className":3957},[790],[568,3959,623],{"className":3960},[790],[568,3962,3964],{"className":3963},[665],[568,3965,3967],{"className":3966},[669],[568,3968,3970],{"className":3969},[673],[568,3971,3973],{"className":3972,"style":678},[677],[568,3974,3975,3978],{"style":681},[568,3976],{"className":3977,"style":686},[685],[568,3979,3981],{"className":3980},[690,691,692,693],[568,3982,846],{"className":3983},[657,693],[568,3985],{"className":3986,"style":747},[700],[568,3988,610],{"className":3989},[751],[568,3991],{"className":3992,"style":747},[700],[568,3994,3996,3999],{"className":3995},[648],[568,3997],{"className":3998,"style":908},[652],[568,4000,1068],{"className":4001},[657],", aber ",[568,4004,4006,4037],{"className":4005},[571],[568,4007,4009],{"className":4008},[575],[577,4010,4011],{"xmlns":579},[581,4012,4013,4034],{},[584,4014,4015,4021,4023,4029,4031],{},[587,4016,4017,4019],{},[594,4018,596],{},[594,4020,846],{},[598,4022,600],{},[587,4024,4025,4027],{},[594,4026,1068],{},[594,4028,846],{},[598,4030,610],{},[594,4032,4033],{},"7",[636,4035,4036],{"encoding":638},"2^3 - 1^3 = 7",[568,4038,4040,4084,4128],{"className":4039,"ariaHidden":644},[643],[568,4041,4043,4046,4075,4078,4081],{"className":4042},[648],[568,4044],{"className":4045,"style":653},[652],[568,4047,4049,4052],{"className":4048},[657],[568,4050,596],{"className":4051},[657],[568,4053,4055],{"className":4054},[665],[568,4056,4058],{"className":4057},[669],[568,4059,4061],{"className":4060},[673],[568,4062,4064],{"className":4063,"style":678},[677],[568,4065,4066,4069],{"style":681},[568,4067],{"className":4068,"style":686},[685],[568,4070,4072],{"className":4071},[690,691,692,693],[568,4073,846],{"className":4074},[657,693],[568,4076],{"className":4077,"style":701},[700],[568,4079,600],{"className":4080},[705],[568,4082],{"className":4083,"style":701},[700],[568,4085,4087,4090,4119,4122,4125],{"className":4086},[648],[568,4088],{"className":4089,"style":678},[652],[568,4091,4093,4096],{"className":4092},[657],[568,4094,1068],{"className":4095},[657],[568,4097,4099],{"className":4098},[665],[568,4100,4102],{"className":4101},[669],[568,4103,4105],{"className":4104},[673],[568,4106,4108],{"className":4107,"style":678},[677],[568,4109,4110,4113],{"style":681},[568,4111],{"className":4112,"style":686},[685],[568,4114,4116],{"className":4115},[690,691,692,693],[568,4117,846],{"className":4118},[657,693],[568,4120],{"className":4121,"style":747},[700],[568,4123,610],{"className":4124},[751],[568,4126],{"className":4127,"style":747},[700],[568,4129,4131,4134],{"className":4130},[648],[568,4132],{"className":4133,"style":908},[652],[568,4135,4033],{"className":4136},[657],[3683,4138,4139,4140,4176,4177,4288,4289,818],{},"Im zweiten Faktor das falsche Vorzeichen setzen. Bei der Differenz steht ",[568,4141,4143,4161],{"className":4142},[571],[568,4144,4146],{"className":4145},[575],[577,4147,4148],{"xmlns":579},[581,4149,4150,4158],{},[584,4151,4152,4154,4156],{},[598,4153,630],{},[590,4155,592],{},[590,4157,605],{},[636,4159,4160],{"encoding":638},"+ab",[568,4162,4164],{"className":4163,"ariaHidden":644},[643],[568,4165,4167,4170,4173],{"className":4166},[648],[568,4168],{"className":4169,"style":1004},[652],[568,4171,630],{"className":4172},[657],[568,4174,1008],{"className":4175},[657,661],", bei der Summe ",[568,4178,4180,4206],{"className":4179},[571],[568,4181,4183],{"className":4182},[575],[577,4184,4185],{"xmlns":579},[581,4186,4187,4203],{},[584,4188,4189,4195,4197],{},[587,4190,4191,4193],{},[590,4192,592],{},[594,4194,846],{},[598,4196,630],{},[587,4198,4199,4201],{},[590,4200,605],{},[594,4202,846],{},[636,4204,4205],{"encoding":638},"a^3 + b^3",[568,4207,4209,4253],{"className":4208,"ariaHidden":644},[643],[568,4210,4212,4215,4244,4247,4250],{"className":4211},[648],[568,4213],{"className":4214,"style":653},[652],[568,4216,4218,4221],{"className":4217},[657],[568,4219,592],{"className":4220},[657,661],[568,4222,4224],{"className":4223},[665],[568,4225,4227],{"className":4226},[669],[568,4228,4230],{"className":4229},[673],[568,4231,4233],{"className":4232,"style":678},[677],[568,4234,4235,4238],{"style":681},[568,4236],{"className":4237,"style":686},[685],[568,4239,4241],{"className":4240},[690,691,692,693],[568,4242,846],{"className":4243},[657,693],[568,4245],{"className":4246,"style":701},[700],[568,4248,630],{"className":4249},[705],[568,4251],{"className":4252,"style":701},[700],[568,4254,4256,4259],{"className":4255},[648],[568,4257],{"className":4258,"style":678},[652],[568,4260,4262,4265],{"className":4261},[657],[568,4263,605],{"className":4264},[657,661],[568,4266,4268],{"className":4267},[665],[568,4269,4271],{"className":4270},[669],[568,4272,4274],{"className":4273},[673],[568,4275,4277],{"className":4276,"style":678},[677],[568,4278,4279,4282],{"style":681},[568,4280],{"className":4281,"style":686},[685],[568,4283,4285],{"className":4284},[690,691,692,693],[568,4286,846],{"className":4287},[657,693]," steht ",[568,4290,4292,4310],{"className":4291},[571],[568,4293,4295],{"className":4294},[575],[577,4296,4297],{"xmlns":579},[581,4298,4299,4307],{},[584,4300,4301,4303,4305],{},[598,4302,600],{},[590,4304,592],{},[590,4306,605],{},[636,4308,4309],{"encoding":638},"-ab",[568,4311,4313],{"className":4312,"ariaHidden":644},[643],[568,4314,4316,4319,4322],{"className":4315},[648],[568,4317],{"className":4318,"style":1004},[652],[568,4320,600],{"className":4321},[657],[568,4323,1008],{"className":4324},[657,661],[3683,4326,4327,4328,4419,4420,4554,4555,818],{},"Den zweiten Faktor für ein Binom halten und als ",[568,4329,4331,4357],{"className":4330},[571],[568,4332,4334],{"className":4333},[575],[577,4335,4336],{"xmlns":579},[581,4337,4338,4354],{},[584,4339,4340,4342,4344,4346,4348],{},[598,4341,614],{"stretchy":613},[590,4343,592],{},[598,4345,630],{},[590,4347,605],{},[587,4349,4350,4352],{},[598,4351,623],{"stretchy":613},[594,4353,596],{},[636,4355,4356],{"encoding":638},"(a + b)^2",[568,4358,4360,4381],{"className":4359,"ariaHidden":644},[643],[568,4361,4363,4366,4369,4372,4375,4378],{"className":4362},[648],[568,4364],{"className":4365,"style":761},[652],[568,4367,614],{"className":4368},[765],[568,4370,592],{"className":4371},[657,661],[568,4373],{"className":4374,"style":701},[700],[568,4376,630],{"className":4377},[705],[568,4379],{"className":4380,"style":701},[700],[568,4382,4384,4387,4390],{"className":4383},[648],[568,4385],{"className":4386,"style":2836},[652],[568,4388,605],{"className":4389},[657,661],[568,4391,4393,4396],{"className":4392},[790],[568,4394,623],{"className":4395},[790],[568,4397,4399],{"className":4398},[665],[568,4400,4402],{"className":4401},[669],[568,4403,4405],{"className":4404},[673],[568,4406,4408],{"className":4407,"style":678},[677],[568,4409,4410,4413],{"style":681},[568,4411],{"className":4412,"style":686},[685],[568,4414,4416],{"className":4415},[690,691,692,693],[568,4417,596],{"className":4418},[657,693]," schreiben. Richtig ist ",[568,4421,4423,4454],{"className":4422},[571],[568,4424,4426],{"className":4425},[575],[577,4427,4428],{"xmlns":579},[581,4429,4430,4452],{},[584,4431,4432,4438,4440,4442,4444,4446],{},[587,4433,4434,4436],{},[590,4435,592],{},[594,4437,596],{},[598,4439,630],{},[590,4441,592],{},[590,4443,605],{},[598,4445,630],{},[587,4447,4448,4450],{},[590,4449,605],{},[594,4451,596],{},[636,4453,950],{"encoding":638},[568,4455,4457,4501,4519],{"className":4456,"ariaHidden":644},[643],[568,4458,4460,4463,4492,4495,4498],{"className":4459},[648],[568,4461],{"className":4462,"style":653},[652],[568,4464,4466,4469],{"className":4465},[657],[568,4467,592],{"className":4468},[657,661],[568,4470,4472],{"className":4471},[665],[568,4473,4475],{"className":4474},[669],[568,4476,4478],{"className":4477},[673],[568,4479,4481],{"className":4480,"style":678},[677],[568,4482,4483,4486],{"style":681},[568,4484],{"className":4485,"style":686},[685],[568,4487,4489],{"className":4488},[690,691,692,693],[568,4490,596],{"className":4491},[657,693],[568,4493],{"className":4494,"style":701},[700],[568,4496,630],{"className":4497},[705],[568,4499],{"className":4500,"style":701},[700],[568,4502,4504,4507,4510,4513,4516],{"className":4503},[648],[568,4505],{"className":4506,"style":1004},[652],[568,4508,1008],{"className":4509},[657,661],[568,4511],{"className":4512,"style":701},[700],[568,4514,630],{"className":4515},[705],[568,4517],{"className":4518,"style":701},[700],[568,4520,4522,4525],{"className":4521},[648],[568,4523],{"className":4524,"style":678},[652],[568,4526,4528,4531],{"className":4527},[657],[568,4529,605],{"className":4530},[657,661],[568,4532,4534],{"className":4533},[665],[568,4535,4537],{"className":4536},[669],[568,4538,4540],{"className":4539},[673],[568,4541,4543],{"className":4542,"style":678},[677],[568,4544,4545,4548],{"style":681},[568,4546],{"className":4547,"style":686},[685],[568,4549,4551],{"className":4550},[690,691,692,693],[568,4552,596],{"className":4553},[657,693]," mit dem Koeffizienten ",[568,4556,4558,4571],{"className":4557},[571],[568,4559,4561],{"className":4560},[575],[577,4562,4563],{"xmlns":579},[581,4564,4565,4569],{},[584,4566,4567],{},[594,4568,1068],{},[636,4570,1068],{"encoding":638},[568,4572,4574],{"className":4573,"ariaHidden":644},[643],[568,4575,4577,4580],{"className":4576},[648],[568,4578],{"className":4579,"style":908},[652],[568,4581,1068],{"className":4582},[657],[3683,4584,4585,4586,4718,4719,4775,4776,818],{},"Bei Faktoren die dritte Potenz übersehen: ",[568,4587,4589,4623],{"className":4588},[571],[568,4590,4592],{"className":4591},[575],[577,4593,4594],{"xmlns":579},[581,4595,4596,4620],{},[584,4597,4598,4600,4606,4608,4610,4612,4614],{},[594,4599,3060],{},[587,4601,4602,4604],{},[590,4603,3065],{},[594,4605,846],{},[598,4607,610],{},[598,4609,614],{"stretchy":613},[594,4611,846],{},[590,4613,3065],{},[587,4615,4616,4618],{},[598,4617,623],{"stretchy":613},[594,4619,846],{},[636,4621,4622],{"encoding":638},"27y^3 = (3y)^3",[568,4624,4626,4674],{"className":4625,"ariaHidden":644},[643],[568,4627,4629,4633,4636,4665,4668,4671],{"className":4628},[648],[568,4630],{"className":4631,"style":4632},[652],"height:1.0085em;vertical-align:-0.1944em;",[568,4634,3060],{"className":4635},[657],[568,4637,4639,4642],{"className":4638},[657],[568,4640,3065],{"className":4641,"style":3153},[657,661],[568,4643,4645],{"className":4644},[665],[568,4646,4648],{"className":4647},[669],[568,4649,4651],{"className":4650},[673],[568,4652,4654],{"className":4653,"style":678},[677],[568,4655,4656,4659],{"style":681},[568,4657],{"className":4658,"style":686},[685],[568,4660,4662],{"className":4661},[690,691,692,693],[568,4663,846],{"className":4664},[657,693],[568,4666],{"className":4667,"style":747},[700],[568,4669,610],{"className":4670},[751],[568,4672],{"className":4673,"style":747},[700],[568,4675,4677,4680,4683,4686,4689],{"className":4676},[648],[568,4678],{"className":4679,"style":2836},[652],[568,4681,614],{"className":4682},[765],[568,4684,846],{"className":4685},[657],[568,4687,3065],{"className":4688,"style":3153},[657,661],[568,4690,4692,4695],{"className":4691},[790],[568,4693,623],{"className":4694},[790],[568,4696,4698],{"className":4697},[665],[568,4699,4701],{"className":4700},[669],[568,4702,4704],{"className":4703},[673],[568,4705,4707],{"className":4706,"style":678},[677],[568,4708,4709,4712],{"style":681},[568,4710],{"className":4711,"style":686},[685],[568,4713,4715],{"className":4714},[690,691,692,693],[568,4716,846],{"className":4717},[657,693],", also ist ",[568,4720,4722,4742],{"className":4721},[571],[568,4723,4725],{"className":4724},[575],[577,4726,4727],{"xmlns":579},[581,4728,4729,4739],{},[584,4730,4731,4733,4735,4737],{},[590,4732,592],{},[598,4734,610],{},[594,4736,846],{},[590,4738,3065],{},[636,4740,4741],{"encoding":638},"a = 3y",[568,4743,4745,4763],{"className":4744,"ariaHidden":644},[643],[568,4746,4748,4751,4754,4757,4760],{"className":4747},[648],[568,4749],{"className":4750,"style":1464},[652],[568,4752,592],{"className":4753},[657,661],[568,4755],{"className":4756,"style":747},[700],[568,4758,610],{"className":4759},[751],[568,4761],{"className":4762,"style":747},[700],[568,4764,4766,4769,4772],{"className":4765},[648],[568,4767],{"className":4768,"style":3387},[652],[568,4770,846],{"className":4771},[657],[568,4773,3065],{"className":4774,"style":3153},[657,661]," und nicht ",[568,4777,4779,4795],{"className":4778},[571],[568,4780,4782],{"className":4781},[575],[577,4783,4784],{"xmlns":579},[581,4785,4786,4792],{},[584,4787,4788,4790],{},[594,4789,3060],{},[590,4791,3065],{},[636,4793,4794],{"encoding":638},"27y",[568,4796,4798],{"className":4797,"ariaHidden":644},[643],[568,4799,4801,4804,4807],{"className":4800},[648],[568,4802],{"className":4803,"style":3387},[652],[568,4805,3060],{"className":4806},[657],[568,4808,3065],{"className":4809,"style":3153},[657,661],{"title":4811,"searchDepth":4812,"depth":4812,"links":4813},"",2,[4814,4815,4816,4817],{"id":561,"depth":4812,"text":562},{"id":1693,"depth":4812,"text":1694},{"id":2330,"depth":4812,"text":2331},{"id":3677,"depth":4812,"text":3678},[4819,4821,4824,4827,4830,4832,4835,4838,4840],{"lhs":3805,"rhs":4820},"(a - b) * (a^2 + a*b + b^2)",{"lhs":4822,"rhs":4823},"x^3 - 8","(x - 2) * (x^2 + 2*x + 4)",{"lhs":4825,"rhs":4826},"27*y^3 - 1","(3*y - 1) * (9*y^2 + 3*y + 1)",{"lhs":4828,"rhs":4829},"10^3 - 9^3","(10 - 9) * (100 + 90 + 81)",{"lhs":4831,"rhs":3481},"1000 - 729",{"lhs":4833,"rhs":4834},"a^2 + a*b + b^2","(a + b\u002F2)^2 + 3*b^2\u002F4",{"lhs":4836,"rhs":4837},"x^2 + 2*x + 4","(x + 1)^2 + 3",{"lhs":4839,"rhs":1068},"(2 - 1)^3",{"lhs":4841,"rhs":4033},"2^3 - 1^3",null,"md","difference-of-cubes","a^3 - b^3 = (a - b)(a^2 + ab + b^2)","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" display=\"block\">\u003Csemantics>\u003Cmrow>\u003Cmsup>\u003Cmi>a\u003C\u002Fmi>\u003Cmn>3\u003C\u002Fmn>\u003C\u002Fmsup>\u003Cmo>−\u003C\u002Fmo>\u003Cmsup>\u003Cmi>b\u003C\u002Fmi>\u003Cmn>3\u003C\u002Fmn>\u003C\u002Fmsup>\u003Cmo>=\u003C\u002Fmo>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>a\u003C\u002Fmi>\u003Cmo>−\u003C\u002Fmo>\u003Cmi>b\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmsup>\u003Cmi>a\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsup>\u003Cmo>+\u003C\u002Fmo>\u003Cmi>a\u003C\u002Fmi>\u003Cmi>b\u003C\u002Fmi>\u003Cmo>+\u003C\u002Fmo>\u003Cmsup>\u003Cmi>b\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsup>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">a^3 - b^3 = (a - b)(a^2 + ab + b^2)\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.9474em;vertical-align:-0.0833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">a\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8641em;\">\u003Cspan style=\"top:-3.113em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">3\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">−\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8641em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">b\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8641em;\">\u003Cspan style=\"top:-3.113em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">3\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">a\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">−\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1.1141em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">b\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">a\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8641em;\">\u003Cspan style=\"top:-3.113em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">2\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">+\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.7778em;vertical-align:-0.0833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">ab\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">+\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1.1141em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">b\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8641em;\">\u003Cspan style=\"top:-3.113em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">2\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","upper",{},true,"\u002Fde\u002Fformulas\u002Fmath\u002Falgebra\u002Fdifferenz-dritter-potenzen",[],[4853,4854,4855],"sum-of-cubes-factoring","binom-3","binom-cubed",{"title":548,"description":4811},"de\u002Fformulas\u002Fmath\u002Falgebra\u002Fdifferenz-dritter-potenzen","Eine Differenz zweier dritter Potenzen lässt sich in (a − b) mal (a² + ab + b²) zerlegen.",[4860,4861,4862,4863],"faktorisieren","kubikzahl","dritte potenz","zerlegen",[4865],{"symbol":4866,"meaning":4867,"symbolHtml":4868},"a, b","beliebige reelle Zahlen oder Terme","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>a\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmi>b\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">a, b\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">a\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">b\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","EW3AyauXu6T-tPKyHJOZ9L3vqDXZSrPiZC9lapUqwOI",[4871,4874,4877],{"stem":4872,"title":4873,"category":5},"de\u002Fformulas\u002Fmath\u002Falgebra\u002Fbinom-hoch-drei","Binom hoch drei",{"stem":4875,"title":4876,"category":5},"de\u002Fformulas\u002Fmath\u002Falgebra\u002Fdritte-binomische-formel","Dritte binomische Formel",{"stem":4878,"title":4879,"category":5},"de\u002Fformulas\u002Fmath\u002Falgebra\u002Fsumme-dritter-potenzen","Summe dritter Potenzen",1793824271602]