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",[567,1122,1124,1151],{"className":1123},[570],[567,1125,1127],{"className":1126},[574],[576,1128,1129],{"xmlns":578},[580,1130,1131,1148],{},[583,1132,1133,1135,1137,1139,1141],{},[586,1134,589],{"stretchy":588},[591,1136,593],{},[586,1138,596],{},[591,1140,599],{},[601,1142,1143,1145],{},[586,1144,605],{"stretchy":588},[607,1146,1147],{},"4",[611,1149,1150],{"encoding":613},"(a+b)^4",[567,1152,1154,1175],{"className":1153,"ariaHidden":619},[618],[567,1155,1157,1160,1163,1166,1169,1172],{"className":1156},[623],[567,1158],{"className":1159,"style":628},[627],[567,1161,589],{"className":1162},[632],[567,1164,593],{"className":1165},[636,637],[567,1167],{"className":1168,"style":642},[641],[567,1170,596],{"className":1171},[646],[567,1173],{"className":1174,"style":642},[641],[567,1176,1178,1181,1184],{"className":1177},[623],[567,1179],{"className":1180,"style":656},[627],[567,1182,599],{"className":1183},[636,637],[567,1185,1187,1190],{"className":1186},[663],[567,1188,605],{"className":1189},[663],[567,1191,1193],{"className":1192},[670],[567,1194,1196],{"className":1195},[674],[567,1197,1199],{"className":1198},[678],[567,1200,1202],{"className":1201,"style":683},[682],[567,1203,1204,1207],{"style":686},[567,1205],{"className":1206,"style":691},[690],[567,1208,1210],{"className":1209},[695,696,697,698],[567,1211,1147],{"className":1212},[636,698]," berechnet man mit dem binomischen Lehrsatz.",[558,1215,1217],{"id":1216},"herleitung","Herleitung",[563,1219,1220,1221,1451],{},"Man schreibt ",[567,1222,1224,1279],{"className":1223},[570],[567,1225,1227],{"className":1226},[574],[576,1228,1229],{"xmlns":578},[580,1230,1231,1276],{},[583,1232,1233,1235,1237,1239,1241,1247,1249,1251,1253,1255,1257,1263,1266,1268,1270,1272,1274],{},[586,1234,589],{"stretchy":588},[591,1236,593],{},[586,1238,596],{},[591,1240,599],{},[601,1242,1243,1245],{},[586,1244,605],{"stretchy":588},[607,1246,609],{},[586,1248,819],{},[586,1250,589],{"stretchy":588},[591,1252,593],{},[586,1254,596],{},[591,1256,599],{},[601,1258,1259,1261],{},[586,1260,605],{"stretchy":588},[607,1262,836],{},[586,1264,1265],{},"⋅",[586,1267,589],{"stretchy":588},[591,1269,593],{},[586,1271,596],{},[591,1273,599],{},[586,1275,605],{"stretchy":588},[611,1277,1278],{"encoding":613},"(a+b)^3 = (a+b)^2 \\cdot (a+b)",[567,1280,1282,1303,1350,1371,1418,1439],{"className":1281,"ariaHidden":619},[618],[567,1283,1285,1288,1291,1294,1297,1300],{"className":1284},[623],[567,1286],{"className":1287,"style":628},[627],[567,1289,589],{"className":1290},[632],[567,1292,593],{"className":1293},[636,637],[567,1295],{"className":1296,"style":642},[641],[567,1298,596],{"className":1299},[646],[567,1301],{"className":1302,"style":642},[641],[567,1304,1306,1309,1312,1341,1344,1347],{"className":1305},[623],[567,1307],{"className":1308,"style":656},[627],[567,1310,599],{"className":1311},[636,637],[567,1313,1315,1318],{"className":1314},[663],[567,1316,605],{"className":1317},[663],[567,1319,1321],{"className":1320},[670],[567,1322,1324],{"className":1323},[674],[567,1325,1327],{"className":1326},[678],[567,1328,1330],{"className":1329,"style":683},[682],[567,1331,1332,1335],{"style":686},[567,1333],{"className":1334,"style":691},[690],[567,1336,1338],{"className":1337},[695,696,697,698],[567,1339,609],{"className":1340},[636,698],[567,1342],{"className":1343,"style":930},[641],[567,1345,819],{"className":1346},[934],[567,1348],{"className":1349,"style":930},[641],[567,1351,1353,1356,1359,1362,1365,1368],{"className":1352},[623],[567,1354],{"className":1355,"style":628},[627],[567,1357,589],{"className":1358},[632],[567,1360,593],{"className":1361},[636,637],[567,1363],{"className":1364,"style":642},[641],[567,1366,596],{"className":1367},[646],[567,1369],{"className":1370,"style":642},[641],[567,1372,1374,1377,1380,1409,1412,1415],{"className":1373},[623],[567,1375],{"className":1376,"style":656},[627],[567,1378,599],{"className":1379},[636,637],[567,1381,1383,1386],{"className":1382},[663],[567,1384,605],{"className":1385},[663],[567,1387,1389],{"className":1388},[670],[567,1390,1392],{"className":1391},[674],[567,1393,1395],{"className":1394},[678],[567,1396,1398],{"className":1397,"style":683},[682],[567,1399,1400,1403],{"style":686},[567,1401],{"className":1402,"style":691},[690],[567,1404,1406],{"className":1405},[695,696,697,698],[567,1407,836],{"className":1408},[636,698],[567,1410],{"className":1411,"style":642},[641],[567,1413,1265],{"className":1414},[646],[567,1416],{"className":1417,"style":642},[641],[567,1419,1421,1424,1427,1430,1433,1436],{"className":1420},[623],[567,1422],{"className":1423,"style":628},[627],[567,1425,589],{"className":1426},[632],[567,1428,593],{"className":1429},[636,637],[567,1431],{"className":1432,"style":642},[641],[567,1434,596],{"className":1435},[646],[567,1437],{"className":1438,"style":642},[641],[567,1440,1442,1445,1448],{"className":1441},[623],[567,1443],{"className":1444,"style":628},[627],[567,1446,599],{"className":1447},[636,637],[567,1449,605],{"className":1450},[663]," und nutzt die erste binomische Formel:",[567,1453,1455],{"className":1454},[788],[567,1456,1458,1606],{"className":1457},[570],[567,1459,1461],{"className":1460},[574],[576,1462,1463],{"xmlns":578,"display":797},[580,1464,1465,1603],{},[583,1466,1467,1469,1475,1477,1479,1481,1483,1485,1491,1493,1495,1497,1499,1501,1503,1505,1511,1513,1519,1521,1523,1525,1531,1533,1535,1537,1539,1545,1547,1549,1555,1557,1563,1565,1571,1573,1575,1581,1583,1585,1587,1589,1595,1597],{},[586,1468,589],{"stretchy":588},[601,1470,1471,1473],{},[591,1472,593],{},[607,1474,836],{},[586,1476,596],{},[607,1478,836],{},[591,1480,593],{},[591,1482,599],{},[586,1484,596],{},[601,1486,1487,1489],{},[591,1488,599],{},[607,1490,836],{},[586,1492,605],{"stretchy":588},[586,1494,589],{"stretchy":588},[591,1496,593],{},[586,1498,596],{},[591,1500,599],{},[586,1502,605],{"stretchy":588},[586,1504,819],{},[601,1506,1507,1509],{},[591,1508,593],{},[607,1510,609],{},[586,1512,596],{},[601,1514,1515,1517],{},[591,1516,593],{},[607,1518,836],{},[591,1520,599],{},[586,1522,596],{},[607,1524,836],{},[601,1526,1527,1529],{},[591,1528,593],{},[607,1530,836],{},[591,1532,599],{},[586,1534,596],{},[607,1536,836],{},[591,1538,593],{},[601,1540,1541,1543],{},[591,1542,599],{},[607,1544,836],{},[586,1546,596],{},[591,1548,593],{},[601,1550,1551,1553],{},[591,1552,599],{},[607,1554,836],{},[586,1556,596],{},[601,1558,1559,1561],{},[591,1560,599],{},[607,1562,609],{},[586,1564,819],{},[601,1566,1567,1569],{},[591,1568,593],{},[607,1570,609],{},[586,1572,596],{},[607,1574,609],{},[601,1576,1577,1579],{},[591,1578,593],{},[607,1580,836],{},[591,1582,599],{},[586,1584,596],{},[607,1586,609],{},[591,1588,593],{},[601,1590,1591,1593],{},[591,1592,599],{},[607,1594,836],{},[586,1596,596],{},[601,1598,1599,1601],{},[591,1600,599],{},[607,1602,609],{},[611,1604,1605],{"encoding":613},"(a^2 + 2ab + b^2)(a+b) = a^3 + a^2b + 2a^2b + 2ab^2 + ab^2 + b^3 = a^3 + 3a^2b + 3ab^2 + b^3",[567,1607,1609,1656,1679,1732,1753,1797,1844,1894,1944,1991,2035,2079,2129,2179],{"className":1608,"ariaHidden":619},[618],[567,1610,1612,1615,1618,1647,1650,1653],{"className":1611},[623],[567,1613],{"className":1614,"style":892},[627],[567,1616,589],{"className":1617},[632],[567,1619,1621,1624],{"className":1620},[636],[567,1622,593],{"className":1623},[636,637],[567,1625,1627],{"className":1626},[670],[567,1628,1630],{"className":1629},[674],[567,1631,1633],{"className":1632},[678],[567,1634,1636],{"className":1635,"style":914},[682],[567,1637,1638,1641],{"style":917},[567,1639],{"className":1640,"style":691},[690],[567,1642,1644],{"className":1643},[695,696,697,698],[567,1645,836],{"className":1646},[636,698],[567,1648],{"className":1649,"style":642},[641],[567,1651,596],{"className":1652},[646],[567,1654],{"className":1655,"style":642},[641],[567,1657,1659,1663,1666,1670,1673,1676],{"className":1658},[623],[567,1660],{"className":1661,"style":1662},[627],"height:0.7778em;vertical-align:-0.0833em;",[567,1664,836],{"className":1665},[636],[567,1667,1669],{"className":1668},[636,637],"ab",[567,1671],{"className":1672,"style":642},[641],[567,1674,596],{"className":1675},[646],[567,1677],{"className":1678,"style":642},[641],[567,1680,1682,1685,1714,1717,1720,1723,1726,1729],{"className":1681},[623],[567,1683],{"className":1684,"style":892},[627],[567,1686,1688,1691],{"className":1687},[636],[567,1689,599],{"className":1690},[636,637],[567,1692,1694],{"className":1693},[670],[567,1695,1697],{"className":1696},[674],[567,1698,1700],{"className":1699},[678],[567,1701,1703],{"className":1702,"style":914},[682],[567,1704,1705,1708],{"style":917},[567,1706],{"className":1707,"style":691},[690],[567,1709,1711],{"className":1710},[695,696,697,698],[567,1712,836],{"className":1713},[636,698],[567,1715,605],{"className":1716},[663],[567,1718,589],{"className":1719},[632],[567,1721,593],{"className":1722},[636,637],[567,1724],{"className":1725,"style":642},[641],[567,1727,596],{"className":1728},[646],[567,1730],{"className":1731,"style":642},[641],[567,1733,1735,1738,1741,1744,1747,1750],{"className":1734},[623],[567,1736],{"className":1737,"style":628},[627],[567,1739,599],{"className":1740},[636,637],[567,1742,605],{"className":1743},[663],[567,1745],{"className":1746,"style":930},[641],[567,1748,819],{"className":1749},[934],[567,1751],{"className":1752,"style":930},[641],[567,1754,1756,1759,1788,1791,1794],{"className":1755},[623],[567,1757],{"className":1758,"style":944},[627],[567,1760,1762,1765],{"className":1761},[636],[567,1763,593],{"className":1764},[636,637],[567,1766,1768],{"className":1767},[670],[567,1769,1771],{"className":1770},[674],[567,1772,1774],{"className":1773},[678],[567,1775,1777],{"className":1776,"style":914},[682],[567,1778,1779,1782],{"style":917},[567,1780],{"className":1781,"style":691},[690],[567,1783,1785],{"className":1784},[695,696,697,698],[567,1786,609],{"className":1787},[636,698],[567,1789],{"className":1790,"style":642},[641],[567,1792,596],{"className":1793},[646],[567,1795],{"className":1796,"style":642},[641],[567,1798,1800,1803,1832,1835,1838,1841],{"className":1799},[623],[567,1801],{"className":1802,"style":944},[627],[567,1804,1806,1809],{"className":1805},[636],[567,1807,593],{"className":1808},[636,637],[567,1810,1812],{"className":1811},[670],[567,1813,1815],{"className":1814},[674],[567,1816,1818],{"className":1817},[678],[567,1819,1821],{"className":1820,"style":914},[682],[567,1822,1823,1826],{"style":917},[567,1824],{"className":1825,"style":691},[690],[567,1827,1829],{"className":1828},[695,696,697,698],[567,1830,836],{"className":1831},[636,698],[567,1833,599],{"className":1834},[636,637],[567,1836],{"className":1837,"style":642},[641],[567,1839,596],{"className":1840},[646],[567,1842],{"className":1843,"style":642},[641],[567,1845,1847,1850,1853,1882,1885,1888,1891],{"className":1846},[623],[567,1848],{"className":1849,"style":944},[627],[567,1851,836],{"className":1852},[636],[567,1854,1856,1859],{"className":1855},[636],[567,1857,593],{"className":1858},[636,637],[567,1860,1862],{"className":1861},[670],[567,1863,1865],{"className":1864},[674],[567,1866,1868],{"className":1867},[678],[567,1869,1871],{"className":1870,"style":914},[682],[567,1872,1873,1876],{"style":917},[567,1874],{"className":1875,"style":691},[690],[567,1877,1879],{"className":1878},[695,696,697,698],[567,1880,836],{"className":1881},[636,698],[567,1883,599],{"className":1884},[636,637],[567,1886],{"className":1887,"style":642},[641],[567,1889,596],{"className":1890},[646],[567,1892],{"className":1893,"style":642},[641],[567,1895,1897,1900,1903,1906,1935,1938,1941],{"className":1896},[623],[567,1898],{"className":1899,"style":944},[627],[567,1901,836],{"className":1902},[636],[567,1904,593],{"className":1905},[636,637],[567,1907,1909,1912],{"className":1908},[636],[567,1910,599],{"className":1911},[636,637],[567,1913,1915],{"className":1914},[670],[567,1916,1918],{"className":1917},[674],[567,1919,1921],{"className":1920},[678],[567,1922,1924],{"className":1923,"style":914},[682],[567,1925,1926,1929],{"style":917},[567,1927],{"className":1928,"style":691},[690],[567,1930,1932],{"className":1931},[695,696,697,698],[567,1933,836],{"className":1934},[636,698],[567,1936],{"className":1937,"style":642},[641],[567,1939,596],{"className":1940},[646],[567,1942],{"className":1943,"style":642},[641],[567,1945,1947,1950,1953,1982,1985,1988],{"className":1946},[623],[567,1948],{"className":1949,"style":944},[627],[567,1951,593],{"className":1952},[636,637],[567,1954,1956,1959],{"className":1955},[636],[567,1957,599],{"className":1958},[636,637],[567,1960,1962],{"className":1961},[670],[567,1963,1965],{"className":1964},[674],[567,1966,1968],{"className":1967},[678],[567,1969,1971],{"className":1970,"style":914},[682],[567,1972,1973,1976],{"style":917},[567,1974],{"className":1975,"style":691},[690],[567,1977,1979],{"className":1978},[695,696,697,698],[567,1980,836],{"className":1981},[636,698],[567,1983],{"className":1984,"style":642},[641],[567,1986,596],{"className":1987},[646],[567,1989],{"className":1990,"style":642},[641],[567,1992,1994,1997,2026,2029,2032],{"className":1993},[623],[567,1995],{"className":1996,"style":914},[627],[567,1998,2000,2003],{"className":1999},[636],[567,2001,599],{"className":2002},[636,637],[567,2004,2006],{"className":2005},[670],[567,2007,2009],{"className":2008},[674],[567,2010,2012],{"className":2011},[678],[567,2013,2015],{"className":2014,"style":914},[682],[567,2016,2017,2020],{"style":917},[567,2018],{"className":2019,"style":691},[690],[567,2021,2023],{"className":2022},[695,696,697,698],[567,2024,609],{"className":2025},[636,698],[567,2027],{"className":2028,"style":930},[641],[567,2030,819],{"className":2031},[934],[567,2033],{"className":2034,"style":930},[641],[567,2036,2038,2041,2070,2073,2076],{"className":2037},[623],[567,2039],{"className":2040,"style":944},[627],[567,2042,2044,2047],{"className":2043},[636],[567,2045,593],{"className":2046},[636,637],[567,2048,2050],{"className":2049},[670],[567,2051,2053],{"className":2052},[674],[567,2054,2056],{"className":2055},[678],[567,2057,2059],{"className":2058,"style":914},[682],[567,2060,2061,2064],{"style":917},[567,2062],{"className":2063,"style":691},[690],[567,2065,2067],{"className":2066},[695,696,697,698],[567,2068,609],{"className":2069},[636,698],[567,2071],{"className":2072,"style":642},[641],[567,2074,596],{"className":2075},[646],[567,2077],{"className":2078,"style":642},[641],[567,2080,2082,2085,2088,2117,2120,2123,2126],{"className":2081},[623],[567,2083],{"className":2084,"style":944},[627],[567,2086,609],{"className":2087},[636],[567,2089,2091,2094],{"className":2090},[636],[567,2092,593],{"className":2093},[636,637],[567,2095,2097],{"className":2096},[670],[567,2098,2100],{"className":2099},[674],[567,2101,2103],{"className":2102},[678],[567,2104,2106],{"className":2105,"style":914},[682],[567,2107,2108,2111],{"style":917},[567,2109],{"className":2110,"style":691},[690],[567,2112,2114],{"className":2113},[695,696,697,698],[567,2115,836],{"className":2116},[636,698],[567,2118,599],{"className":2119},[636,637],[567,2121],{"className":2122,"style":642},[641],[567,2124,596],{"className":2125},[646],[567,2127],{"className":2128,"style":642},[641],[567,2130,2132,2135,2138,2141,2170,2173,2176],{"className":2131},[623],[567,2133],{"className":2134,"style":944},[627],[567,2136,609],{"className":2137},[636],[567,2139,593],{"className":2140},[636,637],[567,2142,2144,2147],{"className":2143},[636],[567,2145,599],{"className":2146},[636,637],[567,2148,2150],{"className":2149},[670],[567,2151,2153],{"className":2152},[674],[567,2154,2156],{"className":2155},[678],[567,2157,2159],{"className":2158,"style":914},[682],[567,2160,2161,2164],{"style":917},[567,2162],{"className":2163,"style":691},[690],[567,2165,2167],{"className":2166},[695,696,697,698],[567,2168,836],{"className":2169},[636,698],[567,2171],{"className":2172,"style":642},[641],[567,2174,596],{"className":2175},[646],[567,2177],{"className":2178,"style":642},[641],[567,2180,2182,2185],{"className":2181},[623],[567,2183],{"className":2184,"style":914},[627],[567,2186,2188,2191],{"className":2187},[636],[567,2189,599],{"className":2190},[636,637],[567,2192,2194],{"className":2193},[670],[567,2195,2197],{"className":2196},[674],[567,2198,2200],{"className":2199},[678],[567,2201,2203],{"className":2202,"style":914},[682],[567,2204,2205,2208],{"style":917},[567,2206],{"className":2207,"style":691},[690],[567,2209,2211],{"className":2210},[695,696,697,698],[567,2212,609],{"className":2213},[636,698],[558,2215,2217],{"id":2216},"beispiele","Beispiele",[567,2219,2221],{"className":2220},[788],[567,2222,2224,2279],{"className":2223},[570],[567,2225,2227],{"className":2226},[574],[576,2228,2229],{"xmlns":578,"display":797},[580,2230,2231,2276],{},[583,2232,2233,2235,2238,2240,2242,2248,2250,2256,2258,2260,2266,2268,2270,2272,2274],{},[586,2234,589],{"stretchy":588},[591,2236,2237],{},"x",[586,2239,596],{},[607,2241,717],{},[601,2243,2244,2246],{},[586,2245,605],{"stretchy":588},[607,2247,609],{},[586,2249,819],{},[601,2251,2252,2254],{},[591,2253,2237],{},[607,2255,609],{},[586,2257,596],{},[607,2259,609],{},[601,2261,2262,2264],{},[591,2263,2237],{},[607,2265,836],{},[586,2267,596],{},[607,2269,609],{},[591,2271,2237],{},[586,2273,596],{},[607,2275,717],{},[611,2277,2278],{"encoding":613},"(x+1)^3 = x^3 + 3x^2 + 3x + 1",[567,2280,2282,2303,2350,2394,2441,2463],{"className":2281,"ariaHidden":619},[618],[567,2283,2285,2288,2291,2294,2297,2300],{"className":2284},[623],[567,2286],{"className":2287,"style":628},[627],[567,2289,589],{"className":2290},[632],[567,2292,2237],{"className":2293},[636,637],[567,2295],{"className":2296,"style":642},[641],[567,2298,596],{"className":2299},[646],[567,2301],{"className":2302,"style":642},[641],[567,2304,2306,2309,2312,2341,2344,2347],{"className":2305},[623],[567,2307],{"className":2308,"style":892},[627],[567,2310,717],{"className":2311},[636],[567,2313,2315,2318],{"className":2314},[663],[567,2316,605],{"className":2317},[663],[567,2319,2321],{"className":2320},[670],[567,2322,2324],{"className":2323},[674],[567,2325,2327],{"className":2326},[678],[567,2328,2330],{"className":2329,"style":914},[682],[567,2331,2332,2335],{"style":917},[567,2333],{"className":2334,"style":691},[690],[567,2336,2338],{"className":2337},[695,696,697,698],[567,2339,609],{"className":2340},[636,698],[567,2342],{"className":2343,"style":930},[641],[567,2345,819],{"className":2346},[934],[567,2348],{"className":2349,"style":930},[641],[567,2351,2353,2356,2385,2388,2391],{"className":2352},[623],[567,2354],{"className":2355,"style":944},[627],[567,2357,2359,2362],{"className":2358},[636],[567,2360,2237],{"className":2361},[636,637],[567,2363,2365],{"className":2364},[670],[567,2366,2368],{"className":2367},[674],[567,2369,2371],{"className":2370},[678],[567,2372,2374],{"className":2373,"style":914},[682],[567,2375,2376,2379],{"style":917},[567,2377],{"className":2378,"style":691},[690],[567,2380,2382],{"className":2381},[695,696,697,698],[567,2383,609],{"className":2384},[636,698],[567,2386],{"className":2387,"style":642},[641],[567,2389,596],{"className":2390},[646],[567,2392],{"className":2393,"style":642},[641],[567,2395,2397,2400,2403,2432,2435,2438],{"className":2396},[623],[567,2398],{"className":2399,"style":944},[627],[567,2401,609],{"className":2402},[636],[567,2404,2406,2409],{"className":2405},[636],[567,2407,2237],{"className":2408},[636,637],[567,2410,2412],{"className":2411},[670],[567,2413,2415],{"className":2414},[674],[567,2416,2418],{"className":2417},[678],[567,2419,2421],{"className":2420,"style":914},[682],[567,2422,2423,2426],{"style":917},[567,2424],{"className":2425,"style":691},[690],[567,2427,2429],{"className":2428},[695,696,697,698],[567,2430,836],{"className":2431},[636,698],[567,2433],{"className":2434,"style":642},[641],[567,2436,596],{"className":2437},[646],[567,2439],{"className":2440,"style":642},[641],[567,2442,2444,2448,2451,2454,2457,2460],{"className":2443},[623],[567,2445],{"className":2446,"style":2447},[627],"height:0.7278em;vertical-align:-0.0833em;",[567,2449,609],{"className":2450},[636],[567,2452,2237],{"className":2453},[636,637],[567,2455],{"className":2456,"style":642},[641],[567,2458,596],{"className":2459},[646],[567,2461],{"className":2462,"style":642},[641],[567,2464,2466,2470],{"className":2465},[623],[567,2467],{"className":2468,"style":2469},[627],"height:0.6444em;",[567,2471,717],{"className":2472},[636],[567,2474,2476],{"className":2475},[788],[567,2477,2479,2536],{"className":2478},[570],[567,2480,2482],{"className":2481},[574],[576,2483,2484],{"xmlns":578,"display":797},[580,2485,2486,2533],{},[583,2487,2488,2490,2492,2494,2496,2502,2504,2510,2512,2515,2521,2523,2526,2528,2530],{},[586,2489,589],{"stretchy":588},[591,2491,2237],{},[586,2493,808],{},[607,2495,836],{},[601,2497,2498,2500],{},[586,2499,605],{"stretchy":588},[607,2501,609],{},[586,2503,819],{},[601,2505,2506,2508],{},[591,2507,2237],{},[607,2509,609],{},[586,2511,808],{},[607,2513,2514],{},"6",[601,2516,2517,2519],{},[591,2518,2237],{},[607,2520,836],{},[586,2522,596],{},[607,2524,2525],{},"12",[591,2527,2237],{},[586,2529,808],{},[607,2531,2532],{},"8",[611,2534,2535],{"encoding":613},"(x-2)^3 = x^3 - 6x^2 + 12x - 8",[567,2537,2539,2560,2607,2651,2698,2719],{"className":2538,"ariaHidden":619},[618],[567,2540,2542,2545,2548,2551,2554,2557],{"className":2541},[623],[567,2543],{"className":2544,"style":628},[627],[567,2546,589],{"className":2547},[632],[567,2549,2237],{"className":2550},[636,637],[567,2552],{"className":2553,"style":642},[641],[567,2555,808],{"className":2556},[646],[567,2558],{"className":2559,"style":642},[641],[567,2561,2563,2566,2569,2598,2601,2604],{"className":2562},[623],[567,2564],{"className":2565,"style":892},[627],[567,2567,836],{"className":2568},[636],[567,2570,2572,2575],{"className":2571},[663],[567,2573,605],{"className":2574},[663],[567,2576,2578],{"className":2577},[670],[567,2579,2581],{"className":2580},[674],[567,2582,2584],{"className":2583},[678],[567,2585,2587],{"className":2586,"style":914},[682],[567,2588,2589,2592],{"style":917},[567,2590],{"className":2591,"style":691},[690],[567,2593,2595],{"className":2594},[695,696,697,698],[567,2596,609],{"className":2597},[636,698],[567,2599],{"className":2600,"style":930},[641],[567,2602,819],{"className":2603},[934],[567,2605],{"className":2606,"style":930},[641],[567,2608,2610,2613,2642,2645,2648],{"className":2609},[623],[567,2611],{"className":2612,"style":944},[627],[567,2614,2616,2619],{"className":2615},[636],[567,2617,2237],{"className":2618},[636,637],[567,2620,2622],{"className":2621},[670],[567,2623,2625],{"className":2624},[674],[567,2626,2628],{"className":2627},[678],[567,2629,2631],{"className":2630,"style":914},[682],[567,2632,2633,2636],{"style":917},[567,2634],{"className":2635,"style":691},[690],[567,2637,2639],{"className":2638},[695,696,697,698],[567,2640,609],{"className":2641},[636,698],[567,2643],{"className":2644,"style":642},[641],[567,2646,808],{"className":2647},[646],[567,2649],{"className":2650,"style":642},[641],[567,2652,2654,2657,2660,2689,2692,2695],{"className":2653},[623],[567,2655],{"className":2656,"style":944},[627],[567,2658,2514],{"className":2659},[636],[567,2661,2663,2666],{"className":2662},[636],[567,2664,2237],{"className":2665},[636,637],[567,2667,2669],{"className":2668},[670],[567,2670,2672],{"className":2671},[674],[567,2673,2675],{"className":2674},[678],[567,2676,2678],{"className":2677,"style":914},[682],[567,2679,2680,2683],{"style":917},[567,2681],{"className":2682,"style":691},[690],[567,2684,2686],{"className":2685},[695,696,697,698],[567,2687,836],{"className":2688},[636,698],[567,2690],{"className":2691,"style":642},[641],[567,2693,596],{"className":2694},[646],[567,2696],{"className":2697,"style":642},[641],[567,2699,2701,2704,2707,2710,2713,2716],{"className":2700},[623],[567,2702],{"className":2703,"style":2447},[627],[567,2705,2525],{"className":2706},[636],[567,2708,2237],{"className":2709},[636,637],[567,2711],{"className":2712,"style":642},[641],[567,2714,808],{"className":2715},[646],[567,2717],{"className":2718,"style":642},[641],[567,2720,2722,2725],{"className":2721},[623],[567,2723],{"className":2724,"style":2469},[627],[567,2726,2532],{"className":2727},[636],[558,2729,2731],{"id":2730},"typische-fehler","Typische Fehler",[2733,2734,2735,2939,3170],"ul",{},[2736,2737,2738,2934,2935,2938],"li",{},[567,2739,2741,2783],{"className":2740},[570],[567,2742,2744],{"className":2743},[574],[576,2745,2746],{"xmlns":578},[580,2747,2748,2780],{},[583,2749,2750,2752,2754,2756,2758,2764,2766,2772,2774],{},[586,2751,589],{"stretchy":588},[591,2753,593],{},[586,2755,596],{},[591,2757,599],{},[601,2759,2760,2762],{},[586,2761,605],{"stretchy":588},[607,2763,609],{},[586,2765,819],{},[601,2767,2768,2770],{},[591,2769,593],{},[607,2771,609],{},[586,2773,596],{},[601,2775,2776,2778],{},[591,2777,599],{},[607,2779,609],{},[611,2781,2782],{"encoding":613},"(a+b)^3 = a^3 + b^3",[567,2784,2786,2807,2854,2899],{"className":2785,"ariaHidden":619},[618],[567,2787,2789,2792,2795,2798,2801,2804],{"className":2788},[623],[567,2790],{"className":2791,"style":628},[627],[567,2793,589],{"className":2794},[632],[567,2796,593],{"className":2797},[636,637],[567,2799],{"className":2800,"style":642},[641],[567,2802,596],{"className":2803},[646],[567,2805],{"className":2806,"style":642},[641],[567,2808,2810,2813,2816,2845,2848,2851],{"className":2809},[623],[567,2811],{"className":2812,"style":656},[627],[567,2814,599],{"className":2815},[636,637],[567,2817,2819,2822],{"className":2818},[663],[567,2820,605],{"className":2821},[663],[567,2823,2825],{"className":2824},[670],[567,2826,2828],{"className":2827},[674],[567,2829,2831],{"className":2830},[678],[567,2832,2834],{"className":2833,"style":683},[682],[567,2835,2836,2839],{"style":686},[567,2837],{"className":2838,"style":691},[690],[567,2840,2842],{"className":2841},[695,696,697,698],[567,2843,609],{"className":2844},[636,698],[567,2846],{"className":2847,"style":930},[641],[567,2849,819],{"className":2850},[934],[567,2852],{"className":2853,"style":930},[641],[567,2855,2857,2861,2890,2893,2896],{"className":2856},[623],[567,2858],{"className":2859,"style":2860},[627],"height:0.8974em;vertical-align:-0.0833em;",[567,2862,2864,2867],{"className":2863},[636],[567,2865,593],{"className":2866},[636,637],[567,2868,2870],{"className":2869},[670],[567,2871,2873],{"className":2872},[674],[567,2874,2876],{"className":2875},[678],[567,2877,2879],{"className":2878,"style":683},[682],[567,2880,2881,2884],{"style":686},[567,2882],{"className":2883,"style":691},[690],[567,2885,2887],{"className":2886},[695,696,697,698],[567,2888,609],{"className":2889},[636,698],[567,2891],{"className":2892,"style":642},[641],[567,2894,596],{"className":2895},[646],[567,2897],{"className":2898,"style":642},[641],[567,2900,2902,2905],{"className":2901},[623],[567,2903],{"className":2904,"style":683},[627],[567,2906,2908,2911],{"className":2907},[636],[567,2909,599],{"className":2910},[636,637],[567,2912,2914],{"className":2913},[670],[567,2915,2917],{"className":2916},[674],[567,2918,2920],{"className":2919},[678],[567,2921,2923],{"className":2922,"style":683},[682],[567,2924,2925,2928],{"style":686},[567,2926],{"className":2927,"style":691},[690],[567,2929,2931],{"className":2930},[695,696,697,698],[567,2932,609],{"className":2933},[636,698]," ist ",[778,2936,2937],{},"falsch",". Die beiden mittleren Terme fehlen.",[2736,2940,2941,2942,3033,3034,3068,3069,781],{},"Bei der Differenz das Vorzeichen des letzten Terms vergessen: ",[567,2943,2945,2971],{"className":2944},[570],[567,2946,2948],{"className":2947},[574],[576,2949,2950],{"xmlns":578},[580,2951,2952,2968],{},[583,2953,2954,2956,2958,2960,2962],{},[586,2955,589],{"stretchy":588},[591,2957,2237],{},[586,2959,808],{},[607,2961,836],{},[601,2963,2964,2966],{},[586,2965,605],{"stretchy":588},[607,2967,609],{},[611,2969,2970],{"encoding":613},"(x-2)^3",[567,2972,2974,2995],{"className":2973,"ariaHidden":619},[618],[567,2975,2977,2980,2983,2986,2989,2992],{"className":2976},[623],[567,2978],{"className":2979,"style":628},[627],[567,2981,589],{"className":2982},[632],[567,2984,2237],{"className":2985},[636,637],[567,2987],{"className":2988,"style":642},[641],[567,2990,808],{"className":2991},[646],[567,2993],{"className":2994,"style":642},[641],[567,2996,2998,3001,3004],{"className":2997},[623],[567,2999],{"className":3000,"style":656},[627],[567,3002,836],{"className":3003},[636],[567,3005,3007,3010],{"className":3006},[663],[567,3008,605],{"className":3009},[663],[567,3011,3013],{"className":3012},[670],[567,3014,3016],{"className":3015},[674],[567,3017,3019],{"className":3018},[678],[567,3020,3022],{"className":3021,"style":683},[682],[567,3023,3024,3027],{"style":686},[567,3025],{"className":3026,"style":691},[690],[567,3028,3030],{"className":3029},[695,696,697,698],[567,3031,609],{"className":3032},[636,698]," endet mit ",[567,3035,3037,3053],{"className":3036},[570],[567,3038,3040],{"className":3039},[574],[576,3041,3042],{"xmlns":578},[580,3043,3044,3050],{},[583,3045,3046,3048],{},[586,3047,808],{},[607,3049,2532],{},[611,3051,3052],{"encoding":613},"-8",[567,3054,3056],{"className":3055,"ariaHidden":619},[618],[567,3057,3059,3062,3065],{"className":3058},[623],[567,3060],{"className":3061,"style":2447},[627],[567,3063,808],{"className":3064},[636],[567,3066,2532],{"className":3067},[636],", weil ",[567,3070,3072,3102],{"className":3071},[570],[567,3073,3075],{"className":3074},[574],[576,3076,3077],{"xmlns":578},[580,3078,3079,3099],{},[583,3080,3081,3083,3085,3087,3093,3095,3097],{},[586,3082,589],{"stretchy":588},[586,3084,808],{},[607,3086,836],{},[601,3088,3089,3091],{},[586,3090,605],{"stretchy":588},[607,3092,609],{},[586,3094,819],{},[586,3096,808],{},[607,3098,2532],{},[611,3100,3101],{"encoding":613},"(-2)^3 = -8",[567,3103,3105,3158],{"className":3104,"ariaHidden":619},[618],[567,3106,3108,3111,3114,3117,3120,3149,3152,3155],{"className":3107},[623],[567,3109],{"className":3110,"style":656},[627],[567,3112,589],{"className":3113},[632],[567,3115,808],{"className":3116},[636],[567,3118,836],{"className":3119},[636],[567,3121,3123,3126],{"className":3122},[663],[567,3124,605],{"className":3125},[663],[567,3127,3129],{"className":3128},[670],[567,3130,3132],{"className":3131},[674],[567,3133,3135],{"className":3134},[678],[567,3136,3138],{"className":3137,"style":683},[682],[567,3139,3140,3143],{"style":686},[567,3141],{"className":3142,"style":691},[690],[567,3144,3146],{"className":3145},[695,696,697,698],[567,3147,609],{"className":3148},[636,698],[567,3150],{"className":3151,"style":930},[641],[567,3153,819],{"className":3154},[934],[567,3156],{"className":3157,"style":930},[641],[567,3159,3161,3164,3167],{"className":3160},[623],[567,3162],{"className":3163,"style":2447},[627],[567,3165,808],{"className":3166},[636],[567,3168,2532],{"className":3169},[636],[2736,3171,3172,3173,3304,3305,781],{},"Die Faktoren falsch potenzieren: ",[567,3174,3176,3208],{"className":3175},[570],[567,3177,3179],{"className":3178},[574],[576,3180,3181],{"xmlns":578},[580,3182,3183,3205],{},[583,3184,3185,3187,3189,3191,3193,3199,3201,3203],{},[607,3186,609],{},[586,3188,1265],{},[591,3190,2237],{},[586,3192,1265],{},[601,3194,3195,3197],{},[607,3196,836],{},[607,3198,836],{},[586,3200,819],{},[607,3202,2525],{},[591,3204,2237],{},[611,3206,3207],{"encoding":613},"3 \\cdot x \\cdot 2^2 = 12x",[567,3209,3211,3229,3248,3292],{"className":3210,"ariaHidden":619},[618],[567,3212,3214,3217,3220,3223,3226],{"className":3213},[623],[567,3215],{"className":3216,"style":2469},[627],[567,3218,609],{"className":3219},[636],[567,3221],{"className":3222,"style":642},[641],[567,3224,1265],{"className":3225},[646],[567,3227],{"className":3228,"style":642},[641],[567,3230,3232,3236,3239,3242,3245],{"className":3231},[623],[567,3233],{"className":3234,"style":3235},[627],"height:0.4445em;",[567,3237,2237],{"className":3238},[636,637],[567,3240],{"className":3241,"style":642},[641],[567,3243,1265],{"className":3244},[646],[567,3246],{"className":3247,"style":642},[641],[567,3249,3251,3254,3283,3286,3289],{"className":3250},[623],[567,3252],{"className":3253,"style":683},[627],[567,3255,3257,3260],{"className":3256},[636],[567,3258,836],{"className":3259},[636],[567,3261,3263],{"className":3262},[670],[567,3264,3266],{"className":3265},[674],[567,3267,3269],{"className":3268},[678],[567,3270,3272],{"className":3271,"style":683},[682],[567,3273,3274,3277],{"style":686},[567,3275],{"className":3276,"style":691},[690],[567,3278,3280],{"className":3279},[695,696,697,698],[567,3281,836],{"className":3282},[636,698],[567,3284],{"className":3285,"style":930},[641],[567,3287,819],{"className":3288},[934],[567,3290],{"className":3291,"style":930},[641],[567,3293,3295,3298,3301],{"className":3294},[623],[567,3296],{"className":3297,"style":2469},[627],[567,3299,2525],{"className":3300},[636],[567,3302,2237],{"className":3303},[636,637],", nicht ",[567,3306,3308,3324],{"className":3307},[570],[567,3309,3311],{"className":3310},[574],[576,3312,3313],{"xmlns":578},[580,3314,3315,3321],{},[583,3316,3317,3319],{},[607,3318,2514],{},[591,3320,2237],{},[611,3322,3323],{"encoding":613},"6x",[567,3325,3327],{"className":3326,"ariaHidden":619},[618],[567,3328,3330,3333,3336],{"className":3329},[623],[567,3331],{"className":3332,"style":2469},[627],[567,3334,2514],{"className":3335},[636],[567,3337,2237],{"className":3338},[636,637],{"title":3340,"searchDepth":3341,"depth":3341,"links":3342},"",2,[3343,3344,3345,3346],{"id":560,"depth":3341,"text":561},{"id":1216,"depth":3341,"text":1217},{"id":2216,"depth":3341,"text":2217},{"id":2730,"depth":3341,"text":2731},[3348,3350,3353,3356],{"lhs":614,"rhs":3349},"a^3 + 3*a^2*b + 3*a*b^2 + b^3",{"lhs":3351,"rhs":3352},"(a-b)^3","a^3 - 3*a^2*b + 3*a*b^2 - b^3",{"lhs":3354,"rhs":3355},"(x+1)^3","x^3 + 3*x^2 + 3*x + 1",{"lhs":2970,"rhs":3357},"x^3 - 6*x^2 + 12*x - 8",null,"md","binom-cubed","(a+b)^3 = a^3 + 3a^2b + 3ab^2 + b^3","\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>\u003Cmsup>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmn>3\u003C\u002Fmn>\u003C\u002Fmsup>\u003Cmo>=\u003C\u002Fmo>\u003Cmsup>\u003Cmi>a\u003C\u002Fmi>\u003Cmn>3\u003C\u002Fmn>\u003C\u002Fmsup>\u003Cmo>+\u003C\u002Fmo>\u003Cmn>3\u003C\u002Fmn>\u003Cmsup>\u003Cmi>a\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsup>\u003Cmi>b\u003C\u002Fmi>\u003Cmo>+\u003C\u002Fmo>\u003Cmn>3\u003C\u002Fmn>\u003Cmi>a\u003C\u002Fmi>\u003Cmsup>\u003Cmi>b\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsup>\u003Cmo>+\u003C\u002Fmo>\u003Cmsup>\u003Cmi>b\u003C\u002Fmi>\u003Cmn>3\u003C\u002Fmn>\u003C\u002Fmsup>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">(a+b)^3 = a^3 + 3a^2b + 3ab^2 + b^3\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 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