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Ausklammern:",[567,1188,1190],{"className":1189},[671],[567,1191,1193,1245],{"className":1192},[570],[567,1194,1196],{"className":1195},[574],[576,1197,1198],{"xmlns":578,"display":680},[580,1199,1200,1242],{},[583,1201,1202,1209,1211,1214,1216,1218,1220,1222,1224,1226,1228,1230,1232,1234,1236,1238,1240],{},[1203,1204,1205,1207],"msup",{},[691,1206,693],{},[586,1208,699],{},[686,1210,696],{},[586,1212,1213],{},"3",[691,1215,693],{},[686,1217,717],{},[586,1219,588],{},[721,1221,723],{},[686,1223,726],{},[721,1225,723],{},[691,1227,693],{},[686,1229,689],{"stretchy":688},[691,1231,693],{},[686,1233,696],{},[586,1235,1213],{},[686,1237,702],{"stretchy":688},[686,1239,717],{},[586,1241,588],{},[590,1243,1244],{"encoding":592},"x^2 - 3x = 0 \\;\\Leftrightarrow\\; x(x - 3) = 0",[567,1246,1248,1295,1316,1340,1364,1385],{"className":1247,"ariaHidden":597},[596],[567,1249,1251,1255,1286,1289,1292],{"className":1250},[601],[567,1252],{"className":1253,"style":1254},[605],"height:0.9474em;vertical-align:-0.0833em;",[567,1256,1258,1261],{"className":1257},[610],[567,1259,693],{"className":1260},[610,776],[567,1262,1264],{"className":1263},[1019],[567,1265,1267],{"className":1266},[1023],[567,1268,1270],{"className":1269},[1028],[567,1271,1274],{"className":1272,"style":1273},[1032],"height:0.8641em;",[567,1275,1277,1280],{"style":1276},"top:-3.113em;margin-right:0.05em;",[567,1278],{"className":1279,"style":1041},[1040],[567,1281,1283],{"className":1282},[1045,1046,1047,1048],[567,1284,699],{"className":1285},[610,1048],[567,1287],{"className":1288,"style":781},[780],[567,1290,696],{"className":1291},[785],[567,1293],{"className":1294,"style":781},[780],[567,1296,1298,1301,1304,1307,1310,1313],{"className":1297},[601],[567,1299],{"className":1300,"style":606},[605],[567,1302,1213],{"className":1303},[610],[567,1305,693],{"className":1306},[610,776],[567,1308],{"className":1309,"style":832},[780],[567,1311,717],{"className":1312},[836],[567,1314],{"className":1315,"style":832},[780],[567,1317,1319,1322,1325,1328,1331,1334,1337],{"className":1318},[601],[567,1320],{"className":1321,"style":606},[605],[567,1323,588],{"className":1324},[610],[567,1326],{"className":1327,"style":832},[780],[567,1329],{"className":1330,"style":832},[780],[567,1332,726],{"className":1333},[836],[567,1335],{"className":1336,"style":832},[780],[567,1338],{"className":1339,"style":832},[780],[567,1341,1343,1346,1349,1352,1355,1358,1361],{"className":1342},[601],[567,1344],{"className":1345,"style":768},[605],[567,1347,693],{"className":1348},[610,776],[567,1350,689],{"className":1351},[772],[567,1353,693],{"className":1354},[610,776],[567,1356],{"className":1357,"style":781},[780],[567,1359,696],{"className":1360},[785],[567,1362],{"className":1363,"style":781},[780],[567,1365,1367,1370,1373,1376,1379,1382],{"className":1366},[601],[567,1368],{"className":1369,"style":768},[605],[567,1371,1213],{"className":1372},[610],[567,1374,702],{"className":1375},[801],[567,1377],{"className":1378,"style":832},[780],[567,1380,717],{"className":1381},[836],[567,1383],{"className":1384,"style":832},[780],[567,1386,1388,1391],{"className":1387},[601],[567,1389],{"className":1390,"style":606},[605],[567,1392,588],{"className":1393},[610],[563,1395,972,1396,1084,1488,1183],{},[567,1397,1399,1421],{"className":1398},[570],[567,1400,1402],{"className":1401},[574],[576,1403,1404],{"xmlns":578},[580,1405,1406,1418],{},[583,1407,1408,1414,1416],{},[986,1409,1410,1412],{},[691,1411,693],{},[586,1413,992],{},[686,1415,717],{},[586,1417,588],{},[590,1419,1420],{"encoding":592},"x_1 = 0",[567,1422,1424,1479],{"className":1423,"ariaHidden":597},[596],[567,1425,1427,1430,1470,1473,1476],{"className":1426},[601],[567,1428],{"className":1429,"style":1009},[605],[567,1431,1433,1436],{"className":1432},[610],[567,1434,693],{"className":1435},[610,776],[567,1437,1439],{"className":1438},[1019],[567,1440,1442,1462],{"className":1441},[1023,1024],[567,1443,1445,1459],{"className":1444},[1028],[567,1446,1448],{"className":1447,"style":1033},[1032],[567,1449,1450,1453],{"style":1036},[567,1451],{"className":1452,"style":1041},[1040],[567,1454,1456],{"className":1455},[1045,1046,1047,1048],[567,1457,992],{"className":1458},[610,1048],[567,1460,1056],{"className":1461},[1055],[567,1463,1465],{"className":1464},[1028],[567,1466,1468],{"className":1467,"style":1063},[1032],[567,1469],{},[567,1471],{"className":1472,"style":832},[780],[567,1474,717],{"className":1475},[836],[567,1477],{"className":1478,"style":832},[780],[567,1480,1482,1485],{"className":1481},[601],[567,1483],{"className":1484,"style":606},[605],[567,1486,588],{"className":1487},[610],[567,1489,1491,1513],{"className":1490},[570],[567,1492,1494],{"className":1493},[574],[576,1495,1496],{"xmlns":578},[580,1497,1498,1510],{},[583,1499,1500,1506,1508],{},[986,1501,1502,1504],{},[691,1503,693],{},[586,1505,699],{},[686,1507,717],{},[586,1509,1213],{},[590,1511,1512],{"encoding":592},"x_2 = 3",[567,1514,1516,1571],{"className":1515,"ariaHidden":597},[596],[567,1517,1519,1522,1562,1565,1568],{"className":1518},[601],[567,1520],{"className":1521,"style":1009},[605],[567,1523,1525,1528],{"className":1524},[610],[567,1526,693],{"className":1527},[610,776],[567,1529,1531],{"className":1530},[1019],[567,1532,1534,1554],{"className":1533},[1023,1024],[567,1535,1537,1551],{"className":1536},[1028],[567,1538,1540],{"className":1539,"style":1033},[1032],[567,1541,1542,1545],{"style":1036},[567,1543],{"className":1544,"style":1041},[1040],[567,1546,1548],{"className":1547},[1045,1046,1047,1048],[567,1549,699],{"className":1550},[610,1048],[567,1552,1056],{"className":1553},[1055],[567,1555,1557],{"className":1556},[1028],[567,1558,1560],{"className":1559,"style":1063},[1032],[567,1561],{},[567,1563],{"className":1564,"style":832},[780],[567,1566,717],{"className":1567},[836],[567,1569],{"className":1570,"style":832},[780],[567,1572,1574,1577],{"className":1573},[601],[567,1575],{"className":1576,"style":606},[605],[567,1578,1213],{"className":1579},[610],[563,1581,1582],{},"Mit Ausklammern und dritter binomischer Formel:",[567,1584,1586],{"className":1585},[671],[567,1587,1589,1660],{"className":1588},[570],[567,1590,1592],{"className":1591},[574],[576,1593,1594],{"xmlns":578,"display":680},[580,1595,1596,1657],{},[583,1597,1598,1604,1606,1609,1611,1613,1615,1617,1623,1625,1627,1629,1631,1633,1635,1637,1639,1641,1643,1645,1647,1649,1651,1653,1655],{},[1203,1599,1600,1602],{},[691,1601,693],{},[586,1603,1213],{},[686,1605,696],{},[586,1607,1608],{},"4",[691,1610,693],{},[686,1612,717],{},[691,1614,693],{},[686,1616,689],{"stretchy":688},[1203,1618,1619,1621],{},[691,1620,693],{},[586,1622,699],{},[686,1624,696],{},[586,1626,1608],{},[686,1628,702],{"stretchy":688},[686,1630,717],{},[691,1632,693],{},[686,1634,689],{"stretchy":688},[691,1636,693],{},[686,1638,696],{},[586,1640,699],{},[686,1642,702],{"stretchy":688},[686,1644,689],{"stretchy":688},[691,1646,693],{},[686,1648,709],{},[586,1650,699],{},[686,1652,702],{"stretchy":688},[686,1654,717],{},[586,1656,588],{},[590,1658,1659],{"encoding":592},"x^3 - 4x = x(x^2 - 4) = x(x - 2)(x + 2) = 0",[567,1661,1663,1707,1728,1779,1800,1824,1851,1872],{"className":1662,"ariaHidden":597},[596],[567,1664,1666,1669,1698,1701,1704],{"className":1665},[601],[567,1667],{"className":1668,"style":1254},[605],[567,1670,1672,1675],{"className":1671},[610],[567,1673,693],{"className":1674},[610,776],[567,1676,1678],{"className":1677},[1019],[567,1679,1681],{"className":1680},[1023],[567,1682,1684],{"className":1683},[1028],[567,1685,1687],{"className":1686,"style":1273},[1032],[567,1688,1689,1692],{"style":1276},[567,1690],{"className":1691,"style":1041},[1040],[567,1693,1695],{"className":1694},[1045,1046,1047,1048],[567,1696,1213],{"className":1697},[610,1048],[567,1699],{"className":1700,"style":781},[780],[567,1702,696],{"className":1703},[785],[567,1705],{"className":1706,"style":781},[780],[567,1708,1710,1713,1716,1719,1722,1725],{"className":1709},[601],[567,1711],{"className":1712,"style":606},[605],[567,1714,1608],{"className":1715},[610],[567,1717,693],{"className":1718},[610,776],[567,1720],{"className":1721,"style":832},[780],[567,1723,717],{"className":1724},[836],[567,1726],{"className":1727,"style":832},[780],[567,1729,1731,1735,1738,1741,1770,1773,1776],{"className":1730},[601],[567,1732],{"className":1733,"style":1734},[605],"height:1.1141em;vertical-align:-0.25em;",[567,1736,693],{"className":1737},[610,776],[567,1739,689],{"className":1740},[772],[567,1742,1744,1747],{"className":1743},[610],[567,1745,693],{"className":1746},[610,776],[567,1748,1750],{"className":1749},[1019],[567,1751,1753],{"className":1752},[1023],[567,1754,1756],{"className":1755},[1028],[567,1757,1759],{"className":1758,"style":1273},[1032],[567,1760,1761,1764],{"style":1276},[567,1762],{"className":1763,"style":1041},[1040],[567,1765,1767],{"className":1766},[1045,1046,1047,1048],[567,1768,699],{"className":1769},[610,1048],[567,1771],{"className":1772,"style":781},[780],[567,1774,696],{"className":1775},[785],[567,1777],{"className":1778,"style":781},[780],[567,1780,1782,1785,1788,1791,1794,1797],{"className":1781},[601],[567,1783],{"className":1784,"style":768},[605],[567,1786,1608],{"className":1787},[610],[567,1789,702],{"className":1790},[801],[567,1792],{"className":1793,"style":832},[780],[567,1795,717],{"className":1796},[836],[567,1798],{"className":1799,"style":832},[780],[567,1801,1803,1806,1809,1812,1815,1818,1821],{"className":1802},[601],[567,1804],{"className":1805,"style":768},[605],[567,1807,693],{"className":1808},[610,776],[567,1810,689],{"className":1811},[772],[567,1813,693],{"className":1814},[610,776],[567,1816],{"className":1817,"style":781},[780],[567,1819,696],{"className":1820},[785],[567,1822],{"className":1823,"style":781},[780],[567,1825,1827,1830,1833,1836,1839,1842,1845,1848],{"className":1826},[601],[567,1828],{"className":1829,"style":768},[605],[567,1831,699],{"className":1832},[610],[567,1834,702],{"className":1835},[801],[567,1837,689],{"className":1838},[772],[567,1840,693],{"className":1841},[610,776],[567,1843],{"className":1844,"style":781},[780],[567,1846,709],{"className":1847},[785],[567,1849],{"className":1850,"style":781},[780],[567,1852,1854,1857,1860,1863,1866,1869],{"className":1853},[601],[567,1855],{"className":1856,"style":768},[605],[567,1858,699],{"className":1859},[610],[567,1861,702],{"className":1862},[801],[567,1864],{"className":1865,"style":832},[780],[567,1867,717],{"className":1868},[836],[567,1870],{"className":1871,"style":832},[780],[567,1873,1875,1878],{"className":1874},[601],[567,1876],{"className":1877,"style":606},[605],[567,1879,588],{"className":1880},[610],[563,1882,972,1883,1974,1975,1084,2067,1183],{},[567,1884,1886,1907],{"className":1885},[570],[567,1887,1889],{"className":1888},[574],[576,1890,1891],{"xmlns":578},[580,1892,1893,1905],{},[583,1894,1895,1901,1903],{},[986,1896,1897,1899],{},[691,1898,693],{},[586,1900,992],{},[686,1902,717],{},[586,1904,588],{},[590,1906,1420],{"encoding":592},[567,1908,1910,1965],{"className":1909,"ariaHidden":597},[596],[567,1911,1913,1916,1956,1959,1962],{"className":1912},[601],[567,1914],{"className":1915,"style":1009},[605],[567,1917,1919,1922],{"className":1918},[610],[567,1920,693],{"className":1921},[610,776],[567,1923,1925],{"className":1924},[1019],[567,1926,1928,1948],{"className":1927},[1023,1024],[567,1929,1931,1945],{"className":1930},[1028],[567,1932,1934],{"className":1933,"style":1033},[1032],[567,1935,1936,1939],{"style":1036},[567,1937],{"className":1938,"style":1041},[1040],[567,1940,1942],{"className":1941},[1045,1046,1047,1048],[567,1943,992],{"className":1944},[610,1048],[567,1946,1056],{"className":1947},[1055],[567,1949,1951],{"className":1950},[1028],[567,1952,1954],{"className":1953,"style":1063},[1032],[567,1955],{},[567,1957],{"className":1958,"style":832},[780],[567,1960,717],{"className":1961},[836],[567,1963],{"className":1964,"style":832},[780],[567,1966,1968,1971],{"className":1967},[601],[567,1969],{"className":1970,"style":606},[605],[567,1972,588],{"className":1973},[610],", ",[567,1976,1978,2000],{"className":1977},[570],[567,1979,1981],{"className":1980},[574],[576,1982,1983],{"xmlns":578},[580,1984,1985,1997],{},[583,1986,1987,1993,1995],{},[986,1988,1989,1991],{},[691,1990,693],{},[586,1992,699],{},[686,1994,717],{},[586,1996,699],{},[590,1998,1999],{"encoding":592},"x_2 = 2",[567,2001,2003,2058],{"className":2002,"ariaHidden":597},[596],[567,2004,2006,2009,2049,2052,2055],{"className":2005},[601],[567,2007],{"className":2008,"style":1009},[605],[567,2010,2012,2015],{"className":2011},[610],[567,2013,693],{"className":2014},[610,776],[567,2016,2018],{"className":2017},[1019],[567,2019,2021,2041],{"className":2020},[1023,1024],[567,2022,2024,2038],{"className":2023},[1028],[567,2025,2027],{"className":2026,"style":1033},[1032],[567,2028,2029,2032],{"style":1036},[567,2030],{"className":2031,"style":1041},[1040],[567,2033,2035],{"className":2034},[1045,1046,1047,1048],[567,2036,699],{"className":2037},[610,1048],[567,2039,1056],{"className":2040},[1055],[567,2042,2044],{"className":2043},[1028],[567,2045,2047],{"className":2046,"style":1063},[1032],[567,2048],{},[567,2050],{"className":2051,"style":832},[780],[567,2053,717],{"className":2054},[836],[567,2056],{"className":2057,"style":832},[780],[567,2059,2061,2064],{"className":2060},[601],[567,2062],{"className":2063,"style":606},[605],[567,2065,699],{"className":2066},[610],[567,2068,2070,2094],{"className":2069},[570],[567,2071,2073],{"className":2072},[574],[576,2074,2075],{"xmlns":578},[580,2076,2077,2091],{},[583,2078,2079,2085,2087,2089],{},[986,2080,2081,2083],{},[691,2082,693],{},[586,2084,1213],{},[686,2086,717],{},[686,2088,696],{},[586,2090,699],{},[590,2092,2093],{"encoding":592},"x_3 = -2",[567,2095,2097,2152],{"className":2096,"ariaHidden":597},[596],[567,2098,2100,2103,2143,2146,2149],{"className":2099},[601],[567,2101],{"className":2102,"style":1009},[605],[567,2104,2106,2109],{"className":2105},[610],[567,2107,693],{"className":2108},[610,776],[567,2110,2112],{"className":2111},[1019],[567,2113,2115,2135],{"className":2114},[1023,1024],[567,2116,2118,2132],{"className":2117},[1028],[567,2119,2121],{"className":2120,"style":1033},[1032],[567,2122,2123,2126],{"style":1036},[567,2124],{"className":2125,"style":1041},[1040],[567,2127,2129],{"className":2128},[1045,1046,1047,1048],[567,2130,1213],{"className":2131},[610,1048],[567,2133,1056],{"className":2134},[1055],[567,2136,2138],{"className":2137},[1028],[567,2139,2141],{"className":2140,"style":1063},[1032],[567,2142],{},[567,2144],{"className":2145,"style":832},[780],[567,2147,717],{"className":2148},[836],[567,2150],{"className":2151,"style":832},[780],[567,2153,2155,2158,2161],{"className":2154},[601],[567,2156],{"className":2157,"style":1176},[605],[567,2159,696],{"className":2160},[610],[567,2162,699],{"className":2163},[610],[558,2165,2167],{"id":2166},"typische-fehler","Typische Fehler",[2169,2170,2171,2398,3117],"ul",{},[2172,2173,2174,2175,2204,2205,2293,2294,2345,2346,2397],"li",{},"Durch ",[567,2176,2178,2191],{"className":2177},[570],[567,2179,2181],{"className":2180},[574],[576,2182,2183],{"xmlns":578},[580,2184,2185,2189],{},[583,2186,2187],{},[691,2188,693],{},[590,2190,693],{"encoding":592},[567,2192,2194],{"className":2193,"ariaHidden":597},[596],[567,2195,2197,2201],{"className":2196},[601],[567,2198],{"className":2199,"style":2200},[605],"height:0.4306em;",[567,2202,693],{"className":2203},[610,776]," teilen statt ausklammern: Aus ",[567,2206,2208,2232],{"className":2207},[570],[567,2209,2211],{"className":2210},[574],[576,2212,2213],{"xmlns":578},[580,2214,2215,2229],{},[583,2216,2217,2223,2225,2227],{},[1203,2218,2219,2221],{},[691,2220,693],{},[586,2222,699],{},[686,2224,717],{},[586,2226,1213],{},[691,2228,693],{},[590,2230,2231],{"encoding":592},"x^2 = 3x",[567,2233,2235,2281],{"className":2234,"ariaHidden":597},[596],[567,2236,2238,2242,2272,2275,2278],{"className":2237},[601],[567,2239],{"className":2240,"style":2241},[605],"height:0.8141em;",[567,2243,2245,2248],{"className":2244},[610],[567,2246,693],{"className":2247},[610,776],[567,2249,2251],{"className":2250},[1019],[567,2252,2254],{"className":2253},[1023],[567,2255,2257],{"className":2256},[1028],[567,2258,2260],{"className":2259,"style":2241},[1032],[567,2261,2263,2266],{"style":2262},"top:-3.063em;margin-right:0.05em;",[567,2264],{"className":2265,"style":1041},[1040],[567,2267,2269],{"className":2268},[1045,1046,1047,1048],[567,2270,699],{"className":2271},[610,1048],[567,2273],{"className":2274,"style":832},[780],[567,2276,717],{"className":2277},[836],[567,2279],{"className":2280,"style":832},[780],[567,2282,2284,2287,2290],{"className":2283},[601],[567,2285],{"className":2286,"style":606},[605],[567,2288,1213],{"className":2289},[610],[567,2291,693],{"className":2292},[610,776]," wird nach Teilen nur ",[567,2295,2297,2315],{"className":2296},[570],[567,2298,2300],{"className":2299},[574],[576,2301,2302],{"xmlns":578},[580,2303,2304,2312],{},[583,2305,2306,2308,2310],{},[691,2307,693],{},[686,2309,717],{},[586,2311,1213],{},[590,2313,2314],{"encoding":592},"x = 3",[567,2316,2318,2336],{"className":2317,"ariaHidden":597},[596],[567,2319,2321,2324,2327,2330,2333],{"className":2320},[601],[567,2322],{"className":2323,"style":2200},[605],[567,2325,693],{"className":2326},[610,776],[567,2328],{"className":2329,"style":832},[780],[567,2331,717],{"className":2332},[836],[567,2334],{"className":2335,"style":832},[780],[567,2337,2339,2342],{"className":2338},[601],[567,2340],{"className":2341,"style":606},[605],[567,2343,1213],{"className":2344},[610],". Die Lösung ",[567,2347,2349,2367],{"className":2348},[570],[567,2350,2352],{"className":2351},[574],[576,2353,2354],{"xmlns":578},[580,2355,2356,2364],{},[583,2357,2358,2360,2362],{},[691,2359,693],{},[686,2361,717],{},[586,2363,588],{},[590,2365,2366],{"encoding":592},"x = 0",[567,2368,2370,2388],{"className":2369,"ariaHidden":597},[596],[567,2371,2373,2376,2379,2382,2385],{"className":2372},[601],[567,2374],{"className":2375,"style":2200},[605],[567,2377,693],{"className":2378},[610,776],[567,2380],{"className":2381,"style":832},[780],[567,2383,717],{"className":2384},[836],[567,2386],{"className":2387,"style":832},[780],[567,2389,2391,2394],{"className":2390},[601],[567,2392],{"className":2393,"style":606},[605],[567,2395,588],{"className":2396},[610]," geht verloren.",[2172,2399,2400,2401,2522,2523,2526,2527,2600,2601,2674,2675,2727,2728,2757,2758,2786,2787,3009,3010,2600,3061,1183],{},"Den Satz bei einer anderen Zahl als null anwenden. Aus ",[567,2402,2404,2441],{"className":2403},[570],[567,2405,2407],{"className":2406},[574],[576,2408,2409],{"xmlns":578},[580,2410,2411,2438],{},[583,2412,2413,2415,2417,2419,2421,2423,2425,2427,2429,2431,2433,2435],{},[686,2414,689],{"stretchy":688},[691,2416,693],{},[686,2418,696],{},[586,2420,992],{},[686,2422,702],{"stretchy":688},[686,2424,689],{"stretchy":688},[691,2426,693],{},[686,2428,696],{},[586,2430,699],{},[686,2432,702],{"stretchy":688},[686,2434,717],{},[586,2436,2437],{},"6",[590,2439,2440],{"encoding":592},"(x - 1)(x - 2) = 6",[567,2442,2444,2465,2492,2513],{"className":2443,"ariaHidden":597},[596],[567,2445,2447,2450,2453,2456,2459,2462],{"className":2446},[601],[567,2448],{"className":2449,"style":768},[605],[567,2451,689],{"className":2452},[772],[567,2454,693],{"className":2455},[610,776],[567,2457],{"className":2458,"style":781},[780],[567,2460,696],{"className":2461},[785],[567,2463],{"className":2464,"style":781},[780],[567,2466,2468,2471,2474,2477,2480,2483,2486,2489],{"className":2467},[601],[567,2469],{"className":2470,"style":768},[605],[567,2472,992],{"className":2473},[610],[567,2475,702],{"className":2476},[801],[567,2478,689],{"className":2479},[772],[567,2481,693],{"className":2482},[610,776],[567,2484],{"className":2485,"style":781},[780],[567,2487,696],{"className":2488},[785],[567,2490],{"className":2491,"style":781},[780],[567,2493,2495,2498,2501,2504,2507,2510],{"className":2494},[601],[567,2496],{"className":2497,"style":768},[605],[567,2499,699],{"className":2500},[610],[567,2502,702],{"className":2503},[801],[567,2505],{"className":2506,"style":832},[780],[567,2508,717],{"className":2509},[836],[567,2511],{"className":2512,"style":832},[780],[567,2514,2516,2519],{"className":2515},[601],[567,2517],{"className":2518,"style":606},[605],[567,2520,2437],{"className":2521},[610]," folgt ",[645,2524,2525],{},"nicht"," ",[567,2528,2530,2552],{"className":2529},[570],[567,2531,2533],{"className":2532},[574],[576,2534,2535],{"xmlns":578},[580,2536,2537,2549],{},[583,2538,2539,2541,2543,2545,2547],{},[691,2540,693],{},[686,2542,696],{},[586,2544,992],{},[686,2546,717],{},[586,2548,2437],{},[590,2550,2551],{"encoding":592},"x - 1 = 6",[567,2553,2555,2573,2591],{"className":2554,"ariaHidden":597},[596],[567,2556,2558,2561,2564,2567,2570],{"className":2557},[601],[567,2559],{"className":2560,"style":870},[605],[567,2562,693],{"className":2563},[610,776],[567,2565],{"className":2566,"style":781},[780],[567,2568,696],{"className":2569},[785],[567,2571],{"className":2572,"style":781},[780],[567,2574,2576,2579,2582,2585,2588],{"className":2575},[601],[567,2577],{"className":2578,"style":606},[605],[567,2580,992],{"className":2581},[610],[567,2583],{"className":2584,"style":832},[780],[567,2586,717],{"className":2587},[836],[567,2589],{"className":2590,"style":832},[780],[567,2592,2594,2597],{"className":2593},[601],[567,2595],{"className":2596,"style":606},[605],[567,2598,2437],{"className":2599},[610]," oder ",[567,2602,2604,2626],{"className":2603},[570],[567,2605,2607],{"className":2606},[574],[576,2608,2609],{"xmlns":578},[580,2610,2611,2623],{},[583,2612,2613,2615,2617,2619,2621],{},[691,2614,693],{},[686,2616,696],{},[586,2618,699],{},[686,2620,717],{},[586,2622,2437],{},[590,2624,2625],{"encoding":592},"x - 2 = 6",[567,2627,2629,2647,2665],{"className":2628,"ariaHidden":597},[596],[567,2630,2632,2635,2638,2641,2644],{"className":2631},[601],[567,2633],{"className":2634,"style":870},[605],[567,2636,693],{"className":2637},[610,776],[567,2639],{"className":2640,"style":781},[780],[567,2642,696],{"className":2643},[785],[567,2645],{"className":2646,"style":781},[780],[567,2648,2650,2653,2656,2659,2662],{"className":2649},[601],[567,2651],{"className":2652,"style":606},[605],[567,2654,699],{"className":2655},[610],[567,2657],{"className":2658,"style":832},[780],[567,2660,717],{"className":2661},[836],[567,2663],{"className":2664,"style":832},[780],[567,2666,2668,2671],{"className":2667},[601],[567,2669],{"className":2670,"style":606},[605],[567,2672,2437],{"className":2673},[610],"; für ",[567,2676,2678,2697],{"className":2677},[570],[567,2679,2681],{"className":2680},[574],[576,2682,2683],{"xmlns":578},[580,2684,2685,2694],{},[583,2686,2687,2689,2691],{},[691,2688,693],{},[686,2690,717],{},[586,2692,2693],{},"7",[590,2695,2696],{"encoding":592},"x = 7",[567,2698,2700,2718],{"className":2699,"ariaHidden":597},[596],[567,2701,2703,2706,2709,2712,2715],{"className":2702},[601],[567,2704],{"className":2705,"style":2200},[605],[567,2707,693],{"className":2708},[610,776],[567,2710],{"className":2711,"style":832},[780],[567,2713,717],{"className":2714},[836],[567,2716],{"className":2717,"style":832},[780],[567,2719,2721,2724],{"className":2720},[601],[567,2722],{"className":2723,"style":606},[605],[567,2725,2693],{"className":2726},[610]," ist das Produkt ",[567,2729,2731,2745],{"className":2730},[570],[567,2732,2734],{"className":2733},[574],[576,2735,2736],{"xmlns":578},[580,2737,2738,2743],{},[583,2739,2740],{},[586,2741,2742],{},"30",[590,2744,2742],{"encoding":592},[567,2746,2748],{"className":2747,"ariaHidden":597},[596],[567,2749,2751,2754],{"className":2750},[601],[567,2752],{"className":2753,"style":606},[605],[567,2755,2742],{"className":2756},[610],". Richtig: ",[567,2759,2761,2774],{"className":2760},[570],[567,2762,2764],{"className":2763},[574],[576,2765,2766],{"xmlns":578},[580,2767,2768,2772],{},[583,2769,2770],{},[586,2771,2437],{},[590,2773,2437],{"encoding":592},[567,2775,2777],{"className":2776,"ariaHidden":597},[596],[567,2778,2780,2783],{"className":2779},[601],[567,2781],{"className":2782,"style":606},[605],[567,2784,2437],{"className":2785},[610]," auf die linke Seite bringen, ",[567,2788,2790,2844],{"className":2789},[570],[567,2791,2793],{"className":2792},[574],[576,2794,2795],{"xmlns":578},[580,2796,2797,2841],{},[583,2798,2799,2805,2807,2809,2811,2813,2815,2817,2819,2821,2823,2825,2827,2829,2831,2833,2835,2837,2839],{},[1203,2800,2801,2803],{},[691,2802,693],{},[586,2804,699],{},[686,2806,696],{},[586,2808,1213],{},[691,2810,693],{},[686,2812,696],{},[586,2814,1608],{},[686,2816,717],{},[686,2818,689],{"stretchy":688},[691,2820,693],{},[686,2822,696],{},[586,2824,1608],{},[686,2826,702],{"stretchy":688},[686,2828,689],{"stretchy":688},[691,2830,693],{},[686,2832,709],{},[586,2834,992],{},[686,2836,702],{"stretchy":688},[686,2838,717],{},[586,2840,588],{},[590,2842,2843],{"encoding":592},"x^2 - 3x - 4 = (x - 4)(x + 1) = 0",[567,2845,2847,2892,2913,2931,2952,2979,3000],{"className":2846,"ariaHidden":597},[596],[567,2848,2850,2854,2883,2886,2889],{"className":2849},[601],[567,2851],{"className":2852,"style":2853},[605],"height:0.8974em;vertical-align:-0.0833em;",[567,2855,2857,2860],{"className":2856},[610],[567,2858,693],{"className":2859},[610,776],[567,2861,2863],{"className":2862},[1019],[567,2864,2866],{"className":2865},[1023],[567,2867,2869],{"className":2868},[1028],[567,2870,2872],{"className":2871,"style":2241},[1032],[567,2873,2874,2877],{"style":2262},[567,2875],{"className":2876,"style":1041},[1040],[567,2878,2880],{"className":2879},[1045,1046,1047,1048],[567,2881,699],{"className":2882},[610,1048],[567,2884],{"className":2885,"style":781},[780],[567,2887,696],{"className":2888},[785],[567,2890],{"className":2891,"style":781},[780],[567,2893,2895,2898,2901,2904,2907,2910],{"className":2894},[601],[567,2896],{"className":2897,"style":1176},[605],[567,2899,1213],{"className":2900},[610],[567,2902,693],{"className":2903},[610,776],[567,2905],{"className":2906,"style":781},[780],[567,2908,696],{"className":2909},[785],[567,2911],{"className":2912,"style":781},[780],[567,2914,2916,2919,2922,2925,2928],{"className":2915},[601],[567,2917],{"className":2918,"style":606},[605],[567,2920,1608],{"className":2921},[610],[567,2923],{"className":2924,"style":832},[780],[567,2926,717],{"className":2927},[836],[567,2929],{"className":2930,"style":832},[780],[567,2932,2934,2937,2940,2943,2946,2949],{"className":2933},[601],[567,2935],{"className":2936,"style":768},[605],[567,2938,689],{"className":2939},[772],[567,2941,693],{"className":2942},[610,776],[567,2944],{"className":2945,"style":781},[780],[567,2947,696],{"className":2948},[785],[567,2950],{"className":2951,"style":781},[780],[567,2953,2955,2958,2961,2964,2967,2970,2973,2976],{"className":2954},[601],[567,2956],{"className":2957,"style":768},[605],[567,2959,1608],{"className":2960},[610],[567,2962,702],{"className":2963},[801],[567,2965,689],{"className":2966},[772],[567,2968,693],{"className":2969},[610,776],[567,2971],{"className":2972,"style":781},[780],[567,2974,709],{"className":2975},[785],[567,2977],{"className":2978,"style":781},[780],[567,2980,2982,2985,2988,2991,2994,2997],{"className":2981},[601],[567,2983],{"className":2984,"style":768},[605],[567,2986,992],{"className":2987},[610],[567,2989,702],{"className":2990},[801],[567,2992],{"className":2993,"style":832},[780],[567,2995,717],{"className":2996},[836],[567,2998],{"className":2999,"style":832},[780],[567,3001,3003,3006],{"className":3002},[601],[567,3004],{"className":3005,"style":606},[605],[567,3007,588],{"className":3008},[610],", also ",[567,3011,3013,3031],{"className":3012},[570],[567,3014,3016],{"className":3015},[574],[576,3017,3018],{"xmlns":578},[580,3019,3020,3028],{},[583,3021,3022,3024,3026],{},[691,3023,693],{},[686,3025,717],{},[586,3027,1608],{},[590,3029,3030],{"encoding":592},"x = 4",[567,3032,3034,3052],{"className":3033,"ariaHidden":597},[596],[567,3035,3037,3040,3043,3046,3049],{"className":3036},[601],[567,3038],{"className":3039,"style":2200},[605],[567,3041,693],{"className":3042},[610,776],[567,3044],{"className":3045,"style":832},[780],[567,3047,717],{"className":3048},[836],[567,3050],{"className":3051,"style":832},[780],[567,3053,3055,3058],{"className":3054},[601],[567,3056],{"className":3057,"style":606},[605],[567,3059,1608],{"className":3060},[610],[567,3062,3064,3084],{"className":3063},[570],[567,3065,3067],{"className":3066},[574],[576,3068,3069],{"xmlns":578},[580,3070,3071,3081],{},[583,3072,3073,3075,3077,3079],{},[691,3074,693],{},[686,3076,717],{},[686,3078,696],{},[586,3080,992],{},[590,3082,3083],{"encoding":592},"x = -1",[567,3085,3087,3105],{"className":3086,"ariaHidden":597},[596],[567,3088,3090,3093,3096,3099,3102],{"className":3089},[601],[567,3091],{"className":3092,"style":2200},[605],[567,3094,693],{"className":3095},[610,776],[567,3097],{"className":3098,"style":832},[780],[567,3100,717],{"className":3101},[836],[567,3103],{"className":3104,"style":832},[780],[567,3106,3108,3111,3114],{"className":3107},[601],[567,3109],{"className":3110,"style":1176},[605],[567,3112,696],{"className":3113},[610],[567,3115,992],{"className":3116},[610],[2172,3118,3119,3120,3148,3149,3199],{},"Einen Faktor übersehen, z.B. das ausgeklammerte ",[567,3121,3123,3136],{"className":3122},[570],[567,3124,3126],{"className":3125},[574],[576,3127,3128],{"xmlns":578},[580,3129,3130,3134],{},[583,3131,3132],{},[691,3133,693],{},[590,3135,693],{"encoding":592},[567,3137,3139],{"className":3138,"ariaHidden":597},[596],[567,3140,3142,3145],{"className":3141},[601],[567,3143],{"className":3144,"style":2200},[605],[567,3146,693],{"className":3147},[610,776],", das selbst die Lösung ",[567,3150,3152,3169],{"className":3151},[570],[567,3153,3155],{"className":3154},[574],[576,3156,3157],{"xmlns":578},[580,3158,3159,3167],{},[583,3160,3161,3163,3165],{},[691,3162,693],{},[686,3164,717],{},[586,3166,588],{},[590,3168,2366],{"encoding":592},[567,3170,3172,3190],{"className":3171,"ariaHidden":597},[596],[567,3173,3175,3178,3181,3184,3187],{"className":3174},[601],[567,3176],{"className":3177,"style":2200},[605],[567,3179,693],{"className":3180},[610,776],[567,3182],{"className":3183,"style":832},[780],[567,3185,717],{"className":3186},[836],[567,3188],{"className":3189,"style":832},[780],[567,3191,3193,3196],{"className":3192},[601],[567,3194],{"className":3195,"style":606},[605],[567,3197,588],{"className":3198},[610]," liefert.",{"title":3201,"searchDepth":3202,"depth":3202,"links":3203},"",2,[3204,3205,3206],{"id":560,"depth":3202,"text":561},{"id":666,"depth":3202,"text":667},{"id":2166,"depth":3202,"text":2167},[3208,3211,3214,3217,3220,3223,3226,3228,3231,3235,3238],{"lhs":3209,"rhs":588,"where":3210},"(x - 2) * (x + 5)",{"x":3202},{"lhs":3209,"rhs":588,"where":3212},{"x":3213},-5,{"lhs":3215,"rhs":3216},"x^2 - 3*x","x * (x - 3)",{"lhs":3215,"rhs":588,"where":3218},{"x":3219},3,{"lhs":3221,"rhs":3222},"x^3 - 4*x","x * (x - 2) * (x + 2)",{"lhs":3221,"rhs":588,"where":3224},{"x":3225},-2,{"lhs":3221,"rhs":588,"where":3227},{"x":3202},{"lhs":3229,"rhs":3230},"(x - 1) * (x - 2) - 6","(x - 4) * (x + 1)",{"lhs":3232,"rhs":2437,"where":3233},"(x - 1) * (x - 2)",{"x":3234},4,{"lhs":3232,"rhs":2437,"where":3236},{"x":3237},-1,{"lhs":3232,"rhs":2742,"where":3239},{"x":3240},7,null,"md","zero-product","a \\cdot b = 0 \\;\\Leftrightarrow\\; a = 0 \\;\\lor\\; b = 0","\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>\u003Cmi>a\u003C\u002Fmi>\u003Cmo>⋅\u003C\u002Fmo>\u003Cmi>b\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmn>0\u003C\u002Fmn>\u003Cmtext>  \u003C\u002Fmtext>\u003Cmo>⇔\u003C\u002Fmo>\u003Cmtext>  \u003C\u002Fmtext>\u003Cmi>a\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmn>0\u003C\u002Fmn>\u003Cmtext>  \u003C\u002Fmtext>\u003Cmo>∨\u003C\u002Fmo>\u003Cmtext>  \u003C\u002Fmtext>\u003Cmi>b\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">a \\cdot b = 0 \\;\\Leftrightarrow\\; a = 0 \\;\\lor\\; b = 0\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:0.4445em;\">\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:0.6944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">b\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:0.6444em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">0\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mspace\" 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class=\"mord\">0\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","middle",{},true,"\u002Fde\u002Fformulas\u002Fmath\u002Falgebra\u002Fsatz-vom-nullprodukt",[],[3252,3253,3254],"quadratic-factored-form","abc-formula","distributive-law",{"title":548,"description":3201},"de\u002Fformulas\u002Fmath\u002Falgebra\u002Fsatz-vom-nullprodukt","Ein Produkt ist genau dann null, wenn mindestens einer seiner Faktoren null ist.",[3259,3260,3261,3262,3263],"nullstellen","faktorisieren","gleichung lösen","produkt","ausklammern",[3265,3269],{"symbol":3266,"meaning":3267,"symbolHtml":3268},"a, b","reelle Zahlen oder Terme, die Faktoren des Produkts","\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>",{"symbol":3270,"meaning":3271,"symbolHtml":3272},"\\lor","„oder“, mindestens eine der beiden Aussagen ist wahr","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmo>∨\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\lor\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:0.5556em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">∨\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","Zx7RSn0-kfncJ3Hsl-aS041tjhdrQxQgOI0ir0PN3Xo",[3275,3278,3281],{"stem":3276,"title":3277,"category":5},"de\u002Fformulas\u002Fmath\u002Falgebra\u002Fabc-formel","abc-Formel (Mitternachtsformel)",{"stem":3279,"title":3280,"category":5},"de\u002Fformulas\u002Fmath\u002Falgebra\u002Fdistributivgesetz","Distributivgesetz",{"stem":3282,"title":3283,"category":5},"de\u002Fformulas\u002Fmath\u002Falgebra\u002Flinearfaktorzerlegung","Linearfaktorzerlegung quadratischer Terme",1793824273354]