[{"data":1,"prerenderedAt":2184},["ShallowReactive",2],{"subject-categories-math":3,"formula-de\u002Fformulas\u002Fmath\u002Falgebra\u002Fklammern-ausmultiplizieren":546,"formula-related-de\u002Fformulas\u002Fmath\u002Falgebra\u002Fklammern-ausmultiplizieren":2174},[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":554,"category":5,"checks":2136,"conditions":2146,"conditionsHtml":2146,"deprecated":2146,"description":2129,"extension":2147,"figure":2146,"figureCaption":2146,"figureHtml":2146,"formulaId":2148,"latex":2149,"latexHtml":2150,"level":2151,"meta":2152,"navigation":2153,"path":2154,"redirectFrom":2155,"related":2156,"seo":2160,"stem":2161,"subject":595,"summary":2162,"tags":2163,"variables":2168,"__hash__":2173},"formulas_de\u002Fde\u002Fformulas\u002Fmath\u002Falgebra\u002Fklammern-ausmultiplizieren.md","Zwei Klammern ausmultiplizieren",[550,551,552,553],"Klammer mal Klammer","(a+b)(c+d)","jedes mit jedem","Summen multiplizieren",{"type":555,"value":556,"toc":2128},"minimark",[557,562,571,574,578,581,947,951,1303,1306,1656,1660],[558,559,561],"h2",{"id":560},"erklärung","Erklärung",[563,564,565,566,570],"p",{},"Beim Multiplizieren zweier Klammern gilt die Regel ",[567,568,569],"strong",{},"„jedes mit jedem“",": Jeder Summand der ersten Klammer wird mit jedem Summanden der zweiten Klammer multipliziert. Bei zwei Summanden pro Klammer entstehen so vier Produkte. Anschließend fasst man gleichartige Terme zusammen.",[563,572,573],{},"Die binomischen Formeln sind Sonderfälle dieser Regel.",[558,575,577],{"id":576},"herleitung","Herleitung",[563,579,580],{},"Zweimal das Distributivgesetz anwenden:",[582,583,586],"span",{"className":584},[585],"katex-display",[582,587,590,693],{"className":588},[589],"katex",[582,591,594],{"className":592},[593],"katex-mathml",[595,596,599],"math",{"xmlns":597,"display":598},"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML","block",[600,601,602,688],"semantics",{},[603,604,605,610,614,617,620,623,625,628,630,633,635,638,640,642,644,646,648,650,652,654,656,658,660,662,664,666,668,670,672,674,676,678,680,682,684,686],"mrow",{},[606,607,609],"mo",{"stretchy":608},"false","(",[611,612,613],"mi",{},"a",[606,615,616],{},"+",[611,618,619],{},"b",[606,621,622],{"stretchy":608},")",[606,624,609],{"stretchy":608},[611,626,627],{},"c",[606,629,616],{},[611,631,632],{},"d",[606,634,622],{"stretchy":608},[606,636,637],{},"=",[611,639,613],{},[606,641,609],{"stretchy":608},[611,643,627],{},[606,645,616],{},[611,647,632],{},[606,649,622],{"stretchy":608},[606,651,616],{},[611,653,619],{},[606,655,609],{"stretchy":608},[611,657,627],{},[606,659,616],{},[611,661,632],{},[606,663,622],{"stretchy":608},[606,665,637],{},[611,667,613],{},[611,669,627],{},[606,671,616],{},[611,673,613],{},[611,675,632],{},[606,677,616],{},[611,679,619],{},[611,681,627],{},[606,683,616],{},[611,685,619],{},[611,687,632],{},[689,690,692],"annotation",{"encoding":691},"application\u002Fx-tex","(a+b)(c+d) = a(c+d) + b(c+d) = ac + ad + bc + bd",[582,694,698,728,756,779,803,824,848,869,891,913,934],{"className":695,"ariaHidden":697},[696],"katex-html","true",[582,699,702,707,711,716,721,725],{"className":700},[701],"base",[582,703],{"className":704,"style":706},[705],"strut","height:1em;vertical-align:-0.25em;",[582,708,609],{"className":709},[710],"mopen",[582,712,613],{"className":713},[714,715],"mord","mathnormal",[582,717],{"className":718,"style":720},[719],"mspace","margin-right:0.2222em;",[582,722,616],{"className":723},[724],"mbin",[582,726],{"className":727,"style":720},[719],[582,729,731,734,737,741,744,747,750,753],{"className":730},[701],[582,732],{"className":733,"style":706},[705],[582,735,619],{"className":736},[714,715],[582,738,622],{"className":739},[740],"mclose",[582,742,609],{"className":743},[710],[582,745,627],{"className":746},[714,715],[582,748],{"className":749,"style":720},[719],[582,751,616],{"className":752},[724],[582,754],{"className":755,"style":720},[719],[582,757,759,762,765,768,772,776],{"className":758},[701],[582,760],{"className":761,"style":706},[705],[582,763,632],{"className":764},[714,715],[582,766,622],{"className":767},[740],[582,769],{"className":770,"style":771},[719],"margin-right:0.2778em;",[582,773,637],{"className":774},[775],"mrel",[582,777],{"className":778,"style":771},[719],[582,780,782,785,788,791,794,797,800],{"className":781},[701],[582,783],{"className":784,"style":706},[705],[582,786,613],{"className":787},[714,715],[582,789,609],{"className":790},[710],[582,792,627],{"className":793},[714,715],[582,795],{"className":796,"style":720},[719],[582,798,616],{"className":799},[724],[582,801],{"className":802,"style":720},[719],[582,804,806,809,812,815,818,821],{"className":805},[701],[582,807],{"className":808,"style":706},[705],[582,810,632],{"className":811},[714,715],[582,813,622],{"className":814},[740],[582,816],{"className":817,"style":720},[719],[582,819,616],{"className":820},[724],[582,822],{"className":823,"style":720},[719],[582,825,827,830,833,836,839,842,845],{"className":826},[701],[582,828],{"className":829,"style":706},[705],[582,831,619],{"className":832},[714,715],[582,834,609],{"className":835},[710],[582,837,627],{"className":838},[714,715],[582,840],{"className":841,"style":720},[719],[582,843,616],{"className":844},[724],[582,846],{"className":847,"style":720},[719],[582,849,851,854,857,860,863,866],{"className":850},[701],[582,852],{"className":853,"style":706},[705],[582,855,632],{"className":856},[714,715],[582,858,622],{"className":859},[740],[582,861],{"className":862,"style":771},[719],[582,864,637],{"className":865},[775],[582,867],{"className":868,"style":771},[719],[582,870,872,876,879,882,885,888],{"className":871},[701],[582,873],{"className":874,"style":875},[705],"height:0.6667em;vertical-align:-0.0833em;",[582,877,613],{"className":878},[714,715],[582,880,627],{"className":881},[714,715],[582,883],{"className":884,"style":720},[719],[582,886,616],{"className":887},[724],[582,889],{"className":890,"style":720},[719],[582,892,894,898,901,904,907,910],{"className":893},[701],[582,895],{"className":896,"style":897},[705],"height:0.7778em;vertical-align:-0.0833em;",[582,899,613],{"className":900},[714,715],[582,902,632],{"className":903},[714,715],[582,905],{"className":906,"style":720},[719],[582,908,616],{"className":909},[724],[582,911],{"className":912,"style":720},[719],[582,914,916,919,922,925,928,931],{"className":915},[701],[582,917],{"className":918,"style":897},[705],[582,920,619],{"className":921},[714,715],[582,923,627],{"className":924},[714,715],[582,926],{"className":927,"style":720},[719],[582,929,616],{"className":930},[724],[582,932],{"className":933,"style":720},[719],[582,935,937,941,944],{"className":936},[701],[582,938],{"className":939,"style":940},[705],"height:0.6944em;",[582,942,619],{"className":943},[714,715],[582,945,632],{"className":946},[714,715],[558,948,950],{"id":949},"beispiele","Beispiele",[582,952,954],{"className":953},[585],[582,955,957,1038],{"className":956},[589],[582,958,960],{"className":959},[593],[595,961,962],{"xmlns":597,"display":598},[600,963,964,1035],{},[603,965,966,968,971,973,977,979,981,983,985,988,990,992,999,1001,1003,1005,1007,1009,1011,1013,1016,1018,1024,1026,1029,1031,1033],{},[606,967,609],{"stretchy":608},[611,969,970],{},"x",[606,972,616],{},[974,975,976],"mn",{},"2",[606,978,622],{"stretchy":608},[606,980,609],{"stretchy":608},[611,982,970],{},[606,984,616],{},[974,986,987],{},"5",[606,989,622],{"stretchy":608},[606,991,637],{},[993,994,995,997],"msup",{},[611,996,970],{},[974,998,976],{},[606,1000,616],{},[974,1002,987],{},[611,1004,970],{},[606,1006,616],{},[974,1008,976],{},[611,1010,970],{},[606,1012,616],{},[974,1014,1015],{},"10",[606,1017,637],{},[993,1019,1020,1022],{},[611,1021,970],{},[974,1023,976],{},[606,1025,616],{},[974,1027,1028],{},"7",[611,1030,970],{},[606,1032,616],{},[974,1034,1015],{},[689,1036,1037],{"encoding":691},"(x+2)(x+5) = x^2 + 5x + 2x + 10 = x^2 + 7x + 10",[582,1039,1041,1062,1089,1110,1167,1189,1210,1229,1273,1294],{"className":1040,"ariaHidden":697},[696],[582,1042,1044,1047,1050,1053,1056,1059],{"className":1043},[701],[582,1045],{"className":1046,"style":706},[705],[582,1048,609],{"className":1049},[710],[582,1051,970],{"className":1052},[714,715],[582,1054],{"className":1055,"style":720},[719],[582,1057,616],{"className":1058},[724],[582,1060],{"className":1061,"style":720},[719],[582,1063,1065,1068,1071,1074,1077,1080,1083,1086],{"className":1064},[701],[582,1066],{"className":1067,"style":706},[705],[582,1069,976],{"className":1070},[714],[582,1072,622],{"className":1073},[740],[582,1075,609],{"className":1076},[710],[582,1078,970],{"className":1079},[714,715],[582,1081],{"className":1082,"style":720},[719],[582,1084,616],{"className":1085},[724],[582,1087],{"className":1088,"style":720},[719],[582,1090,1092,1095,1098,1101,1104,1107],{"className":1091},[701],[582,1093],{"className":1094,"style":706},[705],[582,1096,987],{"className":1097},[714],[582,1099,622],{"className":1100},[740],[582,1102],{"className":1103,"style":771},[719],[582,1105,637],{"className":1106},[775],[582,1108],{"className":1109,"style":771},[719],[582,1111,1113,1117,1158,1161,1164],{"className":1112},[701],[582,1114],{"className":1115,"style":1116},[705],"height:0.9474em;vertical-align:-0.0833em;",[582,1118,1120,1123],{"className":1119},[714],[582,1121,970],{"className":1122},[714,715],[582,1124,1127],{"className":1125},[1126],"msupsub",[582,1128,1131],{"className":1129},[1130],"vlist-t",[582,1132,1135],{"className":1133},[1134],"vlist-r",[582,1136,1140],{"className":1137,"style":1139},[1138],"vlist","height:0.8641em;",[582,1141,1143,1148],{"style":1142},"top:-3.113em;margin-right:0.05em;",[582,1144],{"className":1145,"style":1147},[1146],"pstrut","height:2.7em;",[582,1149,1155],{"className":1150},[1151,1152,1153,1154],"sizing","reset-size6","size3","mtight",[582,1156,976],{"className":1157},[714,1154],[582,1159],{"className":1160,"style":720},[719],[582,1162,616],{"className":1163},[724],[582,1165],{"className":1166,"style":720},[719],[582,1168,1170,1174,1177,1180,1183,1186],{"className":1169},[701],[582,1171],{"className":1172,"style":1173},[705],"height:0.7278em;vertical-align:-0.0833em;",[582,1175,987],{"className":1176},[714],[582,1178,970],{"className":1179},[714,715],[582,1181],{"className":1182,"style":720},[719],[582,1184,616],{"className":1185},[724],[582,1187],{"className":1188,"style":720},[719],[582,1190,1192,1195,1198,1201,1204,1207],{"className":1191},[701],[582,1193],{"className":1194,"style":1173},[705],[582,1196,976],{"className":1197},[714],[582,1199,970],{"className":1200},[714,715],[582,1202],{"className":1203,"style":720},[719],[582,1205,616],{"className":1206},[724],[582,1208],{"className":1209,"style":720},[719],[582,1211,1213,1217,1220,1223,1226],{"className":1212},[701],[582,1214],{"className":1215,"style":1216},[705],"height:0.6444em;",[582,1218,1015],{"className":1219},[714],[582,1221],{"className":1222,"style":771},[719],[582,1224,637],{"className":1225},[775],[582,1227],{"className":1228,"style":771},[719],[582,1230,1232,1235,1264,1267,1270],{"className":1231},[701],[582,1233],{"className":1234,"style":1116},[705],[582,1236,1238,1241],{"className":1237},[714],[582,1239,970],{"className":1240},[714,715],[582,1242,1244],{"className":1243},[1126],[582,1245,1247],{"className":1246},[1130],[582,1248,1250],{"className":1249},[1134],[582,1251,1253],{"className":1252,"style":1139},[1138],[582,1254,1255,1258],{"style":1142},[582,1256],{"className":1257,"style":1147},[1146],[582,1259,1261],{"className":1260},[1151,1152,1153,1154],[582,1262,976],{"className":1263},[714,1154],[582,1265],{"className":1266,"style":720},[719],[582,1268,616],{"className":1269},[724],[582,1271],{"className":1272,"style":720},[719],[582,1274,1276,1279,1282,1285,1288,1291],{"className":1275},[701],[582,1277],{"className":1278,"style":1173},[705],[582,1280,1028],{"className":1281},[714],[582,1283,970],{"className":1284},[714,715],[582,1286],{"className":1287,"style":720},[719],[582,1289,616],{"className":1290},[724],[582,1292],{"className":1293,"style":720},[719],[582,1295,1297,1300],{"className":1296},[701],[582,1298],{"className":1299,"style":1216},[705],[582,1301,1015],{"className":1302},[714],[563,1304,1305],{},"Mit Minuszeichen:",[582,1307,1309],{"className":1308},[585],[582,1310,1312,1397],{"className":1311},[589],[582,1313,1315],{"className":1314},[593],[595,1316,1317],{"xmlns":597,"display":598},[600,1318,1319,1394],{},[603,1320,1321,1323,1325,1327,1330,1333,1335,1337,1339,1341,1344,1346,1348,1350,1356,1358,1361,1363,1365,1367,1369,1371,1374,1376,1378,1384,1386,1388,1390,1392],{},[606,1322,609],{"stretchy":608},[974,1324,976],{},[611,1326,613],{},[606,1328,1329],{},"−",[974,1331,1332],{},"3",[606,1334,622],{"stretchy":608},[606,1336,609],{"stretchy":608},[611,1338,613],{},[606,1340,616],{},[974,1342,1343],{},"4",[606,1345,622],{"stretchy":608},[606,1347,637],{},[974,1349,976],{},[993,1351,1352,1354],{},[611,1353,613],{},[974,1355,976],{},[606,1357,616],{},[974,1359,1360],{},"8",[611,1362,613],{},[606,1364,1329],{},[974,1366,1332],{},[611,1368,613],{},[606,1370,1329],{},[974,1372,1373],{},"12",[606,1375,637],{},[974,1377,976],{},[993,1379,1380,1382],{},[611,1381,613],{},[974,1383,976],{},[606,1385,616],{},[974,1387,987],{},[611,1389,613],{},[606,1391,1329],{},[974,1393,1373],{},[689,1395,1396],{"encoding":691},"(2a-3)(a+4) = 2a^2 + 8a - 3a - 12 = 2a^2 + 5a - 12",[582,1398,1400,1424,1451,1472,1519,1540,1561,1579,1626,1647],{"className":1399,"ariaHidden":697},[696],[582,1401,1403,1406,1409,1412,1415,1418,1421],{"className":1402},[701],[582,1404],{"className":1405,"style":706},[705],[582,1407,609],{"className":1408},[710],[582,1410,976],{"className":1411},[714],[582,1413,613],{"className":1414},[714,715],[582,1416],{"className":1417,"style":720},[719],[582,1419,1329],{"className":1420},[724],[582,1422],{"className":1423,"style":720},[719],[582,1425,1427,1430,1433,1436,1439,1442,1445,1448],{"className":1426},[701],[582,1428],{"className":1429,"style":706},[705],[582,1431,1332],{"className":1432},[714],[582,1434,622],{"className":1435},[740],[582,1437,609],{"className":1438},[710],[582,1440,613],{"className":1441},[714,715],[582,1443],{"className":1444,"style":720},[719],[582,1446,616],{"className":1447},[724],[582,1449],{"className":1450,"style":720},[719],[582,1452,1454,1457,1460,1463,1466,1469],{"className":1453},[701],[582,1455],{"className":1456,"style":706},[705],[582,1458,1343],{"className":1459},[714],[582,1461,622],{"className":1462},[740],[582,1464],{"className":1465,"style":771},[719],[582,1467,637],{"className":1468},[775],[582,1470],{"className":1471,"style":771},[719],[582,1473,1475,1478,1481,1510,1513,1516],{"className":1474},[701],[582,1476],{"className":1477,"style":1116},[705],[582,1479,976],{"className":1480},[714],[582,1482,1484,1487],{"className":1483},[714],[582,1485,613],{"className":1486},[714,715],[582,1488,1490],{"className":1489},[1126],[582,1491,1493],{"className":1492},[1130],[582,1494,1496],{"className":1495},[1134],[582,1497,1499],{"className":1498,"style":1139},[1138],[582,1500,1501,1504],{"style":1142},[582,1502],{"className":1503,"style":1147},[1146],[582,1505,1507],{"className":1506},[1151,1152,1153,1154],[582,1508,976],{"className":1509},[714,1154],[582,1511],{"className":1512,"style":720},[719],[582,1514,616],{"className":1515},[724],[582,1517],{"className":1518,"style":720},[719],[582,1520,1522,1525,1528,1531,1534,1537],{"className":1521},[701],[582,1523],{"className":1524,"style":1173},[705],[582,1526,1360],{"className":1527},[714],[582,1529,613],{"className":1530},[714,715],[582,1532],{"className":1533,"style":720},[719],[582,1535,1329],{"className":1536},[724],[582,1538],{"className":1539,"style":720},[719],[582,1541,1543,1546,1549,1552,1555,1558],{"className":1542},[701],[582,1544],{"className":1545,"style":1173},[705],[582,1547,1332],{"className":1548},[714],[582,1550,613],{"className":1551},[714,715],[582,1553],{"className":1554,"style":720},[719],[582,1556,1329],{"className":1557},[724],[582,1559],{"className":1560,"style":720},[719],[582,1562,1564,1567,1570,1573,1576],{"className":1563},[701],[582,1565],{"className":1566,"style":1216},[705],[582,1568,1373],{"className":1569},[714],[582,1571],{"className":1572,"style":771},[719],[582,1574,637],{"className":1575},[775],[582,1577],{"className":1578,"style":771},[719],[582,1580,1582,1585,1588,1617,1620,1623],{"className":1581},[701],[582,1583],{"className":1584,"style":1116},[705],[582,1586,976],{"className":1587},[714],[582,1589,1591,1594],{"className":1590},[714],[582,1592,613],{"className":1593},[714,715],[582,1595,1597],{"className":1596},[1126],[582,1598,1600],{"className":1599},[1130],[582,1601,1603],{"className":1602},[1134],[582,1604,1606],{"className":1605,"style":1139},[1138],[582,1607,1608,1611],{"style":1142},[582,1609],{"className":1610,"style":1147},[1146],[582,1612,1614],{"className":1613},[1151,1152,1153,1154],[582,1615,976],{"className":1616},[714,1154],[582,1618],{"className":1619,"style":720},[719],[582,1621,616],{"className":1622},[724],[582,1624],{"className":1625,"style":720},[719],[582,1627,1629,1632,1635,1638,1641,1644],{"className":1628},[701],[582,1630],{"className":1631,"style":1173},[705],[582,1633,987],{"className":1634},[714],[582,1636,613],{"className":1637},[714,715],[582,1639],{"className":1640,"style":720},[719],[582,1642,1329],{"className":1643},[724],[582,1645],{"className":1646,"style":720},[719],[582,1648,1650,1653],{"className":1649},[701],[582,1651],{"className":1652,"style":1216},[705],[582,1654,1373],{"className":1655},[714],[558,1657,1659],{"id":1658},"typische-fehler","Typische Fehler",[1661,1662,1663,1847,2037],"ul",{},[1664,1665,1666,1667,1842,1843,1846],"li",{},"Nur die ersten und die letzten Glieder multiplizieren: ",[582,1668,1670,1714],{"className":1669},[589],[582,1671,1673],{"className":1672},[593],[595,1674,1675],{"xmlns":597},[600,1676,1677,1711],{},[603,1678,1679,1681,1683,1685,1687,1689,1691,1693,1695,1697,1699,1701,1707,1709],{},[606,1680,609],{"stretchy":608},[611,1682,970],{},[606,1684,616],{},[974,1686,976],{},[606,1688,622],{"stretchy":608},[606,1690,609],{"stretchy":608},[611,1692,970],{},[606,1694,616],{},[974,1696,987],{},[606,1698,622],{"stretchy":608},[606,1700,637],{},[993,1702,1703,1705],{},[611,1704,970],{},[974,1706,976],{},[606,1708,616],{},[974,1710,1015],{},[689,1712,1713],{"encoding":691},"(x+2)(x+5) = x^2 + 10",[582,1715,1717,1738,1765,1786,1833],{"className":1716,"ariaHidden":697},[696],[582,1718,1720,1723,1726,1729,1732,1735],{"className":1719},[701],[582,1721],{"className":1722,"style":706},[705],[582,1724,609],{"className":1725},[710],[582,1727,970],{"className":1728},[714,715],[582,1730],{"className":1731,"style":720},[719],[582,1733,616],{"className":1734},[724],[582,1736],{"className":1737,"style":720},[719],[582,1739,1741,1744,1747,1750,1753,1756,1759,1762],{"className":1740},[701],[582,1742],{"className":1743,"style":706},[705],[582,1745,976],{"className":1746},[714],[582,1748,622],{"className":1749},[740],[582,1751,609],{"className":1752},[710],[582,1754,970],{"className":1755},[714,715],[582,1757],{"className":1758,"style":720},[719],[582,1760,616],{"className":1761},[724],[582,1763],{"className":1764,"style":720},[719],[582,1766,1768,1771,1774,1777,1780,1783],{"className":1767},[701],[582,1769],{"className":1770,"style":706},[705],[582,1772,987],{"className":1773},[714],[582,1775,622],{"className":1776},[740],[582,1778],{"className":1779,"style":771},[719],[582,1781,637],{"className":1782},[775],[582,1784],{"className":1785,"style":771},[719],[582,1787,1789,1793,1824,1827,1830],{"className":1788},[701],[582,1790],{"className":1791,"style":1792},[705],"height:0.8974em;vertical-align:-0.0833em;",[582,1794,1796,1799],{"className":1795},[714],[582,1797,970],{"className":1798},[714,715],[582,1800,1802],{"className":1801},[1126],[582,1803,1805],{"className":1804},[1130],[582,1806,1808],{"className":1807},[1134],[582,1809,1812],{"className":1810,"style":1811},[1138],"height:0.8141em;",[582,1813,1815,1818],{"style":1814},"top:-3.063em;margin-right:0.05em;",[582,1816],{"className":1817,"style":1147},[1146],[582,1819,1821],{"className":1820},[1151,1152,1153,1154],[582,1822,976],{"className":1823},[714,1154],[582,1825],{"className":1826,"style":720},[719],[582,1828,616],{"className":1829},[724],[582,1831],{"className":1832,"style":720},[719],[582,1834,1836,1839],{"className":1835},[701],[582,1837],{"className":1838,"style":1216},[705],[582,1840,1015],{"className":1841},[714]," ist ",[567,1844,1845],{},"falsch",", die gemischten Terme fehlen.",[1664,1848,1849,1850,1916,1917,1951,1952,2036],{},"Das Minuszeichen gehört zum Summanden: In ",[582,1851,1853,1877],{"className":1852},[589],[582,1854,1856],{"className":1855},[593],[595,1857,1858],{"xmlns":597},[600,1859,1860,1874],{},[603,1861,1862,1864,1866,1868,1870,1872],{},[606,1863,609],{"stretchy":608},[974,1865,976],{},[611,1867,613],{},[606,1869,1329],{},[974,1871,1332],{},[606,1873,622],{"stretchy":608},[689,1875,1876],{"encoding":691},"(2a-3)",[582,1878,1880,1904],{"className":1879,"ariaHidden":697},[696],[582,1881,1883,1886,1889,1892,1895,1898,1901],{"className":1882},[701],[582,1884],{"className":1885,"style":706},[705],[582,1887,609],{"className":1888},[710],[582,1890,976],{"className":1891},[714],[582,1893,613],{"className":1894},[714,715],[582,1896],{"className":1897,"style":720},[719],[582,1899,1329],{"className":1900},[724],[582,1902],{"className":1903,"style":720},[719],[582,1905,1907,1910,1913],{"className":1906},[701],[582,1908],{"className":1909,"style":706},[705],[582,1911,1332],{"className":1912},[714],[582,1914,622],{"className":1915},[740]," rechnet man mit ",[582,1918,1920,1936],{"className":1919},[589],[582,1921,1923],{"className":1922},[593],[595,1924,1925],{"xmlns":597},[600,1926,1927,1933],{},[603,1928,1929,1931],{},[606,1930,1329],{},[974,1932,1332],{},[689,1934,1935],{"encoding":691},"-3",[582,1937,1939],{"className":1938,"ariaHidden":697},[696],[582,1940,1942,1945,1948],{"className":1941},[701],[582,1943],{"className":1944,"style":1173},[705],[582,1946,1329],{"className":1947},[714],[582,1949,1332],{"className":1950},[714],", also ",[582,1953,1955,1982],{"className":1954},[589],[582,1956,1958],{"className":1957},[593],[595,1959,1960],{"xmlns":597},[600,1961,1962,1979],{},[603,1963,1964,1966,1968,1971,1973,1975,1977],{},[606,1965,1329],{},[974,1967,1332],{},[606,1969,1970],{},"⋅",[974,1972,1343],{},[606,1974,637],{},[606,1976,1329],{},[974,1978,1373],{},[689,1980,1981],{"encoding":691},"-3 \\cdot 4 = -12",[582,1983,1985,2006,2024],{"className":1984,"ariaHidden":697},[696],[582,1986,1988,1991,1994,1997,2000,2003],{"className":1987},[701],[582,1989],{"className":1990,"style":1173},[705],[582,1992,1329],{"className":1993},[714],[582,1995,1332],{"className":1996},[714],[582,1998],{"className":1999,"style":720},[719],[582,2001,1970],{"className":2002},[724],[582,2004],{"className":2005,"style":720},[719],[582,2007,2009,2012,2015,2018,2021],{"className":2008},[701],[582,2010],{"className":2011,"style":1216},[705],[582,2013,1343],{"className":2014},[714],[582,2016],{"className":2017,"style":771},[719],[582,2019,637],{"className":2020},[775],[582,2022],{"className":2023,"style":771},[719],[582,2025,2027,2030,2033],{"className":2026},[701],[582,2028],{"className":2029,"style":1173},[705],[582,2031,1329],{"className":2032},[714],[582,2034,1373],{"className":2035},[714],".",[1664,2038,2039,2040,2036],{},"Gleichartige Terme nicht zusammenfassen: ",[582,2041,2043,2071],{"className":2042},[589],[582,2044,2046],{"className":2045},[593],[595,2047,2048],{"xmlns":597},[600,2049,2050,2068],{},[603,2051,2052,2054,2056,2058,2060,2062,2064,2066],{},[974,2053,987],{},[611,2055,970],{},[606,2057,616],{},[974,2059,976],{},[611,2061,970],{},[606,2063,637],{},[974,2065,1028],{},[611,2067,970],{},[689,2069,2070],{"encoding":691},"5x + 2x = 7x",[582,2072,2074,2095,2116],{"className":2073,"ariaHidden":697},[696],[582,2075,2077,2080,2083,2086,2089,2092],{"className":2076},[701],[582,2078],{"className":2079,"style":1173},[705],[582,2081,987],{"className":2082},[714],[582,2084,970],{"className":2085},[714,715],[582,2087],{"className":2088,"style":720},[719],[582,2090,616],{"className":2091},[724],[582,2093],{"className":2094,"style":720},[719],[582,2096,2098,2101,2104,2107,2110,2113],{"className":2097},[701],[582,2099],{"className":2100,"style":1216},[705],[582,2102,976],{"className":2103},[714],[582,2105,970],{"className":2106},[714,715],[582,2108],{"className":2109,"style":771},[719],[582,2111,637],{"className":2112},[775],[582,2114],{"className":2115,"style":771},[719],[582,2117,2119,2122,2125],{"className":2118},[701],[582,2120],{"className":2121,"style":1216},[705],[582,2123,1028],{"className":2124},[714],[582,2126,970],{"className":2127},[714,715],{"title":2129,"searchDepth":2130,"depth":2130,"links":2131},"",2,[2132,2133,2134,2135],{"id":560,"depth":2130,"text":561},{"id":576,"depth":2130,"text":577},{"id":949,"depth":2130,"text":950},{"id":1658,"depth":2130,"text":1659},[2137,2140,2143],{"lhs":2138,"rhs":2139},"(a+b)*(c+d)","a*c + a*d + b*c + b*d",{"lhs":2141,"rhs":2142},"(x+2)*(x+5)","x^2 + 7*x + 10",{"lhs":2144,"rhs":2145},"(2*a-3)*(a+4)","2*a^2 + 5*a - 12",null,"md","expanding-brackets","(a+b)(c+d) = ac + ad + bc + bd","\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>\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>\u003Cmi>c\u003C\u002Fmi>\u003Cmo>+\u003C\u002Fmo>\u003Cmi>d\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>=\u003C\u002Fmo>\u003Cmi>a\u003C\u002Fmi>\u003Cmi>c\u003C\u002Fmi>\u003Cmo>+\u003C\u002Fmo>\u003Cmi>a\u003C\u002Fmi>\u003Cmi>d\u003C\u002Fmi>\u003Cmo>+\u003C\u002Fmo>\u003Cmi>b\u003C\u002Fmi>\u003Cmi>c\u003C\u002Fmi>\u003Cmo>+\u003C\u002Fmo>\u003Cmi>b\u003C\u002Fmi>\u003Cmi>d\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">(a+b)(c+d) = ac + ad + bc + bd\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: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:1em;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 mathnormal\">c\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:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">d\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\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:0.6667em;vertical-align:-0.0833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">a\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">c\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\">a\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">d\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\">b\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">c\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:0.6944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">b\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">d\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","middle",{},true,"\u002Fde\u002Fformulas\u002Fmath\u002Falgebra\u002Fklammern-ausmultiplizieren",[],[2157,2158,2159],"distributive-law","binom-1","binom-3",{"title":548,"description":2129},"de\u002Fformulas\u002Fmath\u002Falgebra\u002Fklammern-ausmultiplizieren","Zwei Summen werden multipliziert, indem man jeden Summanden der einen mit jedem der anderen multipliziert.",[2164,2165,2166,2167],"klammer","ausmultiplizieren","produkt","summe",[2169],{"symbol":2170,"meaning":2171,"symbolHtml":2172},"a, b, c, d","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>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmi>c\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmi>d\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">a, b, c, d\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>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">c\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">d\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","9DHEknmygF-frfnhRS6DmqgDw087hPLCmbymVttSQ5U",[2175,2178,2181],{"stem":2176,"title":2177,"category":5},"de\u002Fformulas\u002Fmath\u002Falgebra\u002Fdistributivgesetz","Distributivgesetz",{"stem":2179,"title":2180,"category":5},"de\u002Fformulas\u002Fmath\u002Falgebra\u002Fdritte-binomische-formel","Dritte binomische Formel",{"stem":2182,"title":2183,"category":5},"de\u002Fformulas\u002Fmath\u002Falgebra\u002Ferste-binomische-formel","Erste binomische Formel",1793824273729]