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bc)\\,i",[568,944,946,971,1000,1026,1048,1073,1097,1153,1177,1201,1225],{"className":945,"ariaHidden":606},[605],[568,947,949,953,957,960,965,968],{"className":948},[610],[568,950],{"className":951,"style":952},[614],"height:1em;vertical-align:-0.25em;",[568,954,836],{"className":955},[956],"mopen",[568,958,839],{"className":959},[619,623],[568,961],{"className":962,"style":964},[963],"mspace","margin-right:0.2222em;",[568,966,842],{"className":967},[807],[568,969],{"className":970,"style":964},[963],[568,972,974,977,981,985,988,991,994,997],{"className":973},[610],[568,975],{"className":976,"style":952},[614],[568,978,980],{"className":979},[619,623],"bi",[568,982,850],{"className":983},[984],"mclose",[568,986,836],{"className":987},[956],[568,989,855],{"className":990},[619,623],[568,992],{"className":993,"style":964},[963],[568,995,842],{"className":996},[807],[568,998],{"className":999,"style":964},[963],[568,1001,1003,1006,1009,1012,1015,1019,1023],{"className":1002},[610],[568,1004],{"className":1005,"style":952},[614],[568,1007,860],{"className":1008},[619,623],[568,1010,592],{"className":1011},[619,623],[568,1013,850],{"className":1014},[984],[568,1016],{"className":1017,"style":1018},[963],"margin-right:0.2778em;",[568,1020,867],{"className":1021},[1022],"mrel",[568,1024],{"className":1025,"style":1018},[963],[568,1027,1029,1033,1036,1039,1042,1045],{"className":1028},[610],[568,1030],{"className":1031,"style":1032},[614],"height:0.6667em;vertical-align:-0.0833em;",[568,1034,839],{"className":1035},[619,623],[568,1037,855],{"className":1038},[619,623],[568,1040],{"className":1041,"style":964},[963],[568,1043,842],{"className":1044},[807],[568,1046],{"className":1047,"style":964},[963],[568,1049,1051,1055,1058,1061,1064,1067,1070],{"className":1050},[610],[568,1052],{"className":1053,"style":1054},[614],"height:0.7778em;vertical-align:-0.0833em;",[568,1056,839],{"className":1057},[619,623],[568,1059,860],{"className":1060},[619,623],[568,1062,592],{"className":1063},[619,623],[568,1065],{"className":1066,"style":964},[963],[568,1068,842],{"className":1069},[807],[568,1071],{"className":1072,"style":964},[963],[568,1074,1076,1079,1082,1085,1088,1091,1094],{"className":1075},[610],[568,1077],{"className":1078,"style":1054},[614],[568,1080,845],{"className":1081},[619,623],[568,1083,855],{"className":1084},[619,623],[568,1086,592],{"className":1087},[619,623],[568,1089],{"className":1090,"style":964},[963],[568,1092,842],{"className":1093},[807],[568,1095],{"className":1096,"style":964},[963],[568,1098,1100,1104,1107,1110,1114,1144,1147,1150],{"className":1099},[610],[568,1101],{"className":1102,"style":1103},[614],"height:0.8641em;",[568,1105,845],{"className":1106},[619,623],[568,1108,860],{"className":1109},[619,623],[568,1111],{"className":1112,"style":1113},[963],"margin-right:0.1667em;",[568,1115,1117,1120],{"className":1116},[619],[568,1118,592],{"className":1119},[619,623],[568,1121,1123],{"className":1122},[627],[568,1124,1126],{"className":1125},[631],[568,1127,1129],{"className":1128},[635],[568,1130,1132],{"className":1131,"style":1103},[639],[568,1133,1135,1138],{"style":1134},"top:-3.113em;margin-right:0.05em;",[568,1136],{"className":1137,"style":647},[646],[568,1139,1141],{"className":1140},[651,652,653,654],[568,1142,596],{"className":1143},[619,654],[568,1145],{"className":1146,"style":1018},[963],[568,1148,867],{"className":1149},[1022],[568,1151],{"className":1152,"style":1018},[963],[568,1154,1156,1159,1162,1165,1168,1171,1174],{"className":1155},[610],[568,1157],{"className":1158,"style":952},[614],[568,1160,836],{"className":1161},[956],[568,1163,839],{"className":1164},[619,623],[568,1166,855],{"className":1167},[619,623],[568,1169],{"className":1170,"style":964},[963],[568,1172,674],{"className":1173},[807],[568,1175],{"className":1176,"style":964},[963],[568,1178,1180,1183,1186,1189,1192,1195,1198],{"className":1179},[610],[568,1181],{"className":1182,"style":952},[614],[568,1184,845],{"className":1185},[619,623],[568,1187,860],{"className":1188},[619,623],[568,1190,850],{"className":1191},[984],[568,1193],{"className":1194,"style":964},[963],[568,1196,842],{"className":1197},[807],[568,1199],{"className":1200,"style":964},[963],[568,1202,1204,1207,1210,1213,1216,1219,1222],{"className":1203},[610],[568,1205],{"className":1206,"style":952},[614],[568,1208,836],{"className":1209},[956],[568,1211,839],{"className":1212},[619,623],[568,1214,860],{"className":1215},[619,623],[568,1217],{"className":1218,"style":964},[963],[568,1220,842],{"className":1221},[807],[568,1223],{"className":1224,"style":964},[963],[568,1226,1228,1231,1234,1237,1240,1243],{"className":1227},[610],[568,1229],{"className":1230,"style":952},[614],[568,1232,845],{"className":1233},[619,623],[568,1235,855],{"className":1236},[619,623],[568,1238,850],{"className":1239},[984],[568,1241],{"className":1242,"style":1113},[963],[568,1244,592],{"className":1245},[619,623],[559,1247,1249],{"id":1248},"beispiele","Beispiele",[568,1251,1253],{"className":1252},[819],[568,1254,1256,1348],{"className":1255},[571],[568,1257,1259],{"className":1258},[575],[577,1260,1261],{"xmlns":579,"display":828},[581,1262,1263,1345],{},[584,1264,1265,1267,1270,1272,1274,1276,1278,1280,1282,1284,1287,1289,1291,1293,1295,1297,1300,1302,1304,1306,1308,1310,1313,1319,1321,1323,1325,1327,1329,1332,1334,1336,1339,1341,1343],{},[672,1266,836],{"stretchy":835},[594,1268,1269],{},"3",[672,1271,842],{},[594,1273,596],{},[590,1275,592],{},[672,1277,850],{"stretchy":835},[672,1279,836],{"stretchy":835},[594,1281,677],{},[672,1283,674],{},[594,1285,1286],{},"4",[590,1288,592],{},[672,1290,850],{"stretchy":835},[672,1292,867],{},[594,1294,1269],{},[672,1296,674],{},[594,1298,1299],{},"12",[590,1301,592],{},[672,1303,842],{},[594,1305,596],{},[590,1307,592],{},[672,1309,674],{},[594,1311,1312],{},"8",[587,1314,1315,1317],{},[590,1316,592],{},[594,1318,596],{},[672,1320,867],{},[594,1322,1269],{},[672,1324,842],{},[594,1326,1312],{},[672,1328,674],{},[594,1330,1331],{},"10",[590,1333,592],{},[672,1335,867],{},[594,1337,1338],{},"11",[672,1340,674],{},[594,1342,1331],{},[590,1344,592],{},[598,1346,1347],{"encoding":600},"(3 + 2i)(1 - 4i) = 3 - 12i + 2i - 8i^2 = 3 + 8 - 10i = 11 - 10i",[568,1349,1351,1372,1402,1426,1444,1466,1487,1534,1552,1570,1591,1609],{"className":1350,"ariaHidden":606},[605],[568,1352,1354,1357,1360,1363,1366,1369],{"className":1353},[610],[568,1355],{"className":1356,"style":952},[614],[568,1358,836],{"className":1359},[956],[568,1361,1269],{"className":1362},[619],[568,1364],{"className":1365,"style":964},[963],[568,1367,842],{"className":1368},[807],[568,1370],{"className":1371,"style":964},[963],[568,1373,1375,1378,1381,1384,1387,1390,1393,1396,1399],{"className":1374},[610],[568,1376],{"className":1377,"style":952},[614],[568,1379,596],{"className":1380},[619],[568,1382,592],{"className":1383},[619,623],[568,1385,850],{"className":1386},[984],[568,1388,836],{"className":1389},[956],[568,1391,677],{"className":1392},[619],[568,1394],{"className":1395,"style":964},[963],[568,1397,674],{"className":1398},[807],[568,1400],{"className":1401,"style":964},[963],[568,1403,1405,1408,1411,1414,1417,1420,1423],{"className":1404},[610],[568,1406],{"className":1407,"style":952},[614],[568,1409,1286],{"className":1410},[619],[568,1412,592],{"className":1413},[619,623],[568,1415,850],{"className":1416},[984],[568,1418],{"className":1419,"style":1018},[963],[568,1421,867],{"className":1422},[1022],[568,1424],{"className":1425,"style":1018},[963],[568,1427,1429,1432,1435,1438,1441],{"className":1428},[610],[568,1430],{"className":1431,"style":690},[614],[568,1433,1269],{"className":1434},[619],[568,1436],{"className":1437,"style":964},[963],[568,1439,674],{"className":1440},[807],[568,1442],{"className":1443,"style":964},[963],[568,1445,1447,1451,1454,1457,1460,1463],{"className":1446},[610],[568,1448],{"className":1449,"style":1450},[614],"height:0.7429em;vertical-align:-0.0833em;",[568,1452,1299],{"className":1453},[619],[568,1455,592],{"className":1456},[619,623],[568,1458],{"className":1459,"style":964},[963],[568,1461,842],{"className":1462},[807],[568,1464],{"className":1465,"style":964},[963],[568,1467,1469,1472,1475,1478,1481,1484],{"className":1468},[610],[568,1470],{"className":1471,"style":1450},[614],[568,1473,596],{"className":1474},[619],[568,1476,592],{"className":1477},[619,623],[568,1479],{"className":1480,"style":964},[963],[568,1482,674],{"className":1483},[807],[568,1485],{"className":1486,"style":964},[963],[568,1488,1490,1493,1496,1525,1528,1531],{"className":1489},[610],[568,1491],{"className":1492,"style":1103},[614],[568,1494,1312],{"className":1495},[619],[568,1497,1499,1502],{"className":1498},[619],[568,1500,592],{"className":1501},[619,623],[568,1503,1505],{"className":1504},[627],[568,1506,1508],{"className":1507},[631],[568,1509,1511],{"className":1510},[635],[568,1512,1514],{"className":1513,"style":1103},[639],[568,1515,1516,1519],{"style":1134},[568,1517],{"className":1518,"style":647},[646],[568,1520,1522],{"className":1521},[651,652,653,654],[568,1523,596],{"className":1524},[619,654],[568,1526],{"className":1527,"style":1018},[963],[568,1529,867],{"className":1530},[1022],[568,1532],{"className":1533,"style":1018},[963],[568,1535,1537,1540,1543,1546,1549],{"className":1536},[610],[568,1538],{"className":1539,"style":690},[614],[568,1541,1269],{"className":1542},[619],[568,1544],{"className":1545,"style":964},[963],[568,1547,842],{"className":1548},[807],[568,1550],{"className":1551,"style":964},[963],[568,1553,1555,1558,1561,1564,1567],{"className":1554},[610],[568,1556],{"className":1557,"style":690},[614],[568,1559,1312],{"className":1560},[619],[568,1562],{"className":1563,"style":964},[963],[568,1565,674],{"className":1566},[807],[568,1568],{"className":1569,"style":964},[963],[568,1571,1573,1576,1579,1582,1585,1588],{"className":1572},[610],[568,1574],{"className":1575,"style":735},[614],[568,1577,1331],{"className":1578},[619],[568,1580,592],{"className":1581},[619,623],[568,1583],{"className":1584,"style":1018},[963],[568,1586,867],{"className":1587},[1022],[568,1589],{"className":1590,"style":1018},[963],[568,1592,1594,1597,1600,1603,1606],{"className":1593},[610],[568,1595],{"className":1596,"style":690},[614],[568,1598,1338],{"className":1599},[619],[568,1601],{"className":1602,"style":964},[963],[568,1604,674],{"className":1605},[807],[568,1607],{"className":1608,"style":964},[963],[568,1610,1612,1615,1618],{"className":1611},[610],[568,1613],{"className":1614,"style":735},[614],[568,1616,1331],{"className":1617},[619],[568,1619,592],{"className":1620},[619,623],[564,1622,1623],{},"Quadrieren mit der ersten binomischen Formel:",[568,1625,1627],{"className":1626},[819],[568,1628,1630,1684],{"className":1629},[571],[568,1631,1633],{"className":1632},[575],[577,1634,1635],{"xmlns":579,"display":828},[581,1636,1637,1681],{},[584,1638,1639,1641,1643,1645,1647,1653,1655,1657,1659,1661,1663,1665,1671,1673,1675,1677,1679],{},[672,1640,836],{"stretchy":835},[594,1642,596],{},[672,1644,842],{},[590,1646,592],{},[587,1648,1649,1651],{},[672,1650,850],{"stretchy":835},[594,1652,596],{},[672,1654,867],{},[594,1656,1286],{},[672,1658,842],{},[594,1660,1286],{},[590,1662,592],{},[672,1664,842],{},[587,1666,1667,1669],{},[590,1668,592],{},[594,1670,596],{},[672,1672,867],{},[594,1674,1269],{},[672,1676,842],{},[594,1678,1286],{},[590,1680,592],{},[598,1682,1683],{"encoding":600},"(2 + i)^2 = 4 + 4i + i^2 = 3 + 4i",[568,1685,1687,1708,1756,1774,1795,1839,1857],{"className":1686,"ariaHidden":606},[605],[568,1688,1690,1693,1696,1699,1702,1705],{"className":1689},[610],[568,1691],{"className":1692,"style":952},[614],[568,1694,836],{"className":1695},[956],[568,1697,596],{"className":1698},[619],[568,1700],{"className":1701,"style":964},[963],[568,1703,842],{"className":1704},[807],[568,1706],{"className":1707,"style":964},[963],[568,1709,1711,1715,1718,1747,1750,1753],{"className":1710},[610],[568,1712],{"className":1713,"style":1714},[614],"height:1.1141em;vertical-align:-0.25em;",[568,1716,592],{"className":1717},[619,623],[568,1719,1721,1724],{"className":1720},[984],[568,1722,850],{"className":1723},[984],[568,1725,1727],{"className":1726},[627],[568,1728,1730],{"className":1729},[631],[568,1731,1733],{"className":1732},[635],[568,1734,1736],{"className":1735,"style":1103},[639],[568,1737,1738,1741],{"style":1134},[568,1739],{"className":1740,"style":647},[646],[568,1742,1744],{"className":1743},[651,652,653,654],[568,1745,596],{"className":1746},[619,654],[568,1748],{"className":1749,"style":1018},[963],[568,1751,867],{"className":1752},[1022],[568,1754],{"className":1755,"style":1018},[963],[568,1757,1759,1762,1765,1768,1771],{"className":1758},[610],[568,1760],{"className":1761,"style":690},[614],[568,1763,1286],{"className":1764},[619],[568,1766],{"className":1767,"style":964},[963],[568,1769,842],{"className":1770},[807],[568,1772],{"className":1773,"style":964},[963],[568,1775,1777,1780,1783,1786,1789,1792],{"className":1776},[610],[568,1778],{"className":1779,"style":1450},[614],[568,1781,1286],{"className":1782},[619],[568,1784,592],{"className":1785},[619,623],[568,1787],{"className":1788,"style":964},[963],[568,1790,842],{"className":1791},[807],[568,1793],{"className":1794,"style":964},[963],[568,1796,1798,1801,1830,1833,1836],{"className":1797},[610],[568,1799],{"className":1800,"style":1103},[614],[568,1802,1804,1807],{"className":1803},[619],[568,1805,592],{"className":1806},[619,623],[568,1808,1810],{"className":1809},[627],[568,1811,1813],{"className":1812},[631],[568,1814,1816],{"className":1815},[635],[568,1817,1819],{"className":1818,"style":1103},[639],[568,1820,1821,1824],{"style":1134},[568,1822],{"className":1823,"style":647},[646],[568,1825,1827],{"className":1826},[651,652,653,654],[568,1828,596],{"className":1829},[619,654],[568,1831],{"className":1832,"style":1018},[963],[568,1834,867],{"className":1835},[1022],[568,1837],{"className":1838,"style":1018},[963],[568,1840,1842,1845,1848,1851,1854],{"className":1841},[610],[568,1843],{"className":1844,"style":690},[614],[568,1846,1269],{"className":1847},[619],[568,1849],{"className":1850,"style":964},[963],[568,1852,842],{"className":1853},[807],[568,1855],{"className":1856,"style":964},[963],[568,1858,1860,1863,1866],{"className":1859},[610],[568,1861],{"className":1862,"style":735},[614],[568,1864,1286],{"className":1865},[619],[568,1867,592],{"className":1868},[619,623],[564,1870,1871,1872,1933],{},"Drehung um ",[568,1873,1875,1892],{"className":1874},[571],[568,1876,1878],{"className":1877},[575],[577,1879,1880],{"xmlns":579},[581,1881,1882,1890],{},[584,1883,1884],{},[587,1885,1886,1888],{},[594,1887,756],{},[672,1889,759],{},[598,1891,762],{"encoding":600},[568,1893,1895],{"className":1894,"ariaHidden":606},[605],[568,1896,1898,1901,1904],{"className":1897},[610],[568,1899],{"className":1900,"style":772},[614],[568,1902,776],{"className":1903},[619],[568,1905,1907,1910],{"className":1906},[619],[568,1908,783],{"className":1909},[619],[568,1911,1913],{"className":1912},[627],[568,1914,1916],{"className":1915},[631],[568,1917,1919],{"className":1918},[635],[568,1920,1922],{"className":1921,"style":772},[639],[568,1923,1924,1927],{"style":642},[568,1925],{"className":1926,"style":647},[646],[568,1928,1930],{"className":1929},[651,652,653,654],[568,1931,759],{"className":1932},[807,654],":",[568,1935,1937],{"className":1936},[819],[568,1938,1940,1997],{"className":1939},[571],[568,1941,1943],{"className":1942},[575],[577,1944,1945],{"xmlns":579,"display":828},[581,1946,1947,1994],{},[584,1948,1949,1951,1954,1956,1958,1960,1962,1964,1966,1968,1970,1972,1974,1976,1982,1984,1986,1988,1990,1992],{},[590,1950,592],{},[672,1952,1953],{},"⋅",[672,1955,836],{"stretchy":835},[594,1957,1286],{},[672,1959,842],{},[594,1961,1269],{},[590,1963,592],{},[672,1965,850],{"stretchy":835},[672,1967,867],{},[594,1969,1286],{},[590,1971,592],{},[672,1973,842],{},[594,1975,1269],{},[587,1977,1978,1980],{},[590,1979,592],{},[594,1981,596],{},[672,1983,867],{},[672,1985,674],{},[594,1987,1269],{},[672,1989,842],{},[594,1991,1286],{},[590,1993,592],{},[598,1995,1996],{"encoding":600},"i \\cdot (4 + 3i) = 4i + 3i^2 = -3 + 4i",[568,1998,2000,2018,2039,2063,2084,2131,2152],{"className":1999,"ariaHidden":606},[605],[568,2001,2003,2006,2009,2012,2015],{"className":2002},[610],[568,2004],{"className":2005,"style":735},[614],[568,2007,592],{"className":2008},[619,623],[568,2010],{"className":2011,"style":964},[963],[568,2013,1953],{"className":2014},[807],[568,2016],{"className":2017,"style":964},[963],[568,2019,2021,2024,2027,2030,2033,2036],{"className":2020},[610],[568,2022],{"className":2023,"style":952},[614],[568,2025,836],{"className":2026},[956],[568,2028,1286],{"className":2029},[619],[568,2031],{"className":2032,"style":964},[963],[568,2034,842],{"className":2035},[807],[568,2037],{"className":2038,"style":964},[963],[568,2040,2042,2045,2048,2051,2054,2057,2060],{"className":2041},[610],[568,2043],{"className":2044,"style":952},[614],[568,2046,1269],{"className":2047},[619],[568,2049,592],{"className":2050},[619,623],[568,2052,850],{"className":2053},[984],[568,2055],{"className":2056,"style":1018},[963],[568,2058,867],{"className":2059},[1022],[568,2061],{"className":2062,"style":1018},[963],[568,2064,2066,2069,2072,2075,2078,2081],{"className":2065},[610],[568,2067],{"className":2068,"style":1450},[614],[568,2070,1286],{"className":2071},[619],[568,2073,592],{"className":2074},[619,623],[568,2076],{"className":2077,"style":964},[963],[568,2079,842],{"className":2080},[807],[568,2082],{"className":2083,"style":964},[963],[568,2085,2087,2090,2093,2122,2125,2128],{"className":2086},[610],[568,2088],{"className":2089,"style":1103},[614],[568,2091,1269],{"className":2092},[619],[568,2094,2096,2099],{"className":2095},[619],[568,2097,592],{"className":2098},[619,623],[568,2100,2102],{"className":2101},[627],[568,2103,2105],{"className":2104},[631],[568,2106,2108],{"className":2107},[635],[568,2109,2111],{"className":2110,"style":1103},[639],[568,2112,2113,2116],{"style":1134},[568,2114],{"className":2115,"style":647},[646],[568,2117,2119],{"className":2118},[651,652,653,654],[568,2120,596],{"className":2121},[619,654],[568,2123],{"className":2124,"style":1018},[963],[568,2126,867],{"className":2127},[1022],[568,2129],{"className":2130,"style":1018},[963],[568,2132,2134,2137,2140,2143,2146,2149],{"className":2133},[610],[568,2135],{"className":2136,"style":690},[614],[568,2138,674],{"className":2139},[619],[568,2141,1269],{"className":2142},[619],[568,2144],{"className":2145,"style":964},[963],[568,2147,842],{"className":2148},[807],[568,2150],{"className":2151,"style":964},[963],[568,2153,2155,2158,2161],{"className":2154},[610],[568,2156],{"className":2157,"style":735},[614],[568,2159,1286],{"className":2160},[619],[568,2162,592],{"className":2163},[619,623],[559,2165,2167],{"id":2166},"typische-fehler","Typische Fehler",[2169,2170,2171,2376,2571],"ul",{},[2172,2173,2174,2175,2375],"li",{},"Nur Realteile und Imaginärteile miteinander multiplizieren: ",[568,2176,2178,2226],{"className":2177},[571],[568,2179,2181],{"className":2180},[575],[577,2182,2183],{"xmlns":579},[581,2184,2185,2223],{},[584,2186,2187,2189,2191,2193,2195,2197,2199,2201,2203,2205,2207,2209,2211,2215,2217,2219,2221],{},[672,2188,836],{"stretchy":835},[594,2190,1269],{},[672,2192,842],{},[594,2194,596],{},[590,2196,592],{},[672,2198,850],{"stretchy":835},[672,2200,836],{"stretchy":835},[594,2202,677],{},[672,2204,674],{},[594,2206,1286],{},[590,2208,592],{},[672,2210,850],{"stretchy":835},[672,2212,2214],{"mathvariant":2213},"normal","≠",[594,2216,1269],{},[672,2218,674],{},[594,2220,1312],{},[590,2222,592],{},[598,2224,2225],{"encoding":600},"(3 + 2i)(1 - 4i) \\neq 3 - 8i",[568,2227,2229,2250,2280,2345,2363],{"className":2228,"ariaHidden":606},[605],[568,2230,2232,2235,2238,2241,2244,2247],{"className":2231},[610],[568,2233],{"className":2234,"style":952},[614],[568,2236,836],{"className":2237},[956],[568,2239,1269],{"className":2240},[619],[568,2242],{"className":2243,"style":964},[963],[568,2245,842],{"className":2246},[807],[568,2248],{"className":2249,"style":964},[963],[568,2251,2253,2256,2259,2262,2265,2268,2271,2274,2277],{"className":2252},[610],[568,2254],{"className":2255,"style":952},[614],[568,2257,596],{"className":2258},[619],[568,2260,592],{"className":2261},[619,623],[568,2263,850],{"className":2264},[984],[568,2266,836],{"className":2267},[956],[568,2269,677],{"className":2270},[619],[568,2272],{"className":2273,"style":964},[963],[568,2275,674],{"className":2276},[807],[568,2278],{"className":2279,"style":964},[963],[568,2281,2283,2286,2289,2292,2295,2298,2342],{"className":2282},[610],[568,2284],{"className":2285,"style":952},[614],[568,2287,1286],{"className":2288},[619],[568,2290,592],{"className":2291},[619,623],[568,2293,850],{"className":2294},[984],[568,2296],{"className":2297,"style":1018},[963],[568,2299,2301,2335,2339],{"className":2300},[1022],[568,2302,2304],{"className":2303},[1022],[568,2305,2308],{"className":2306},[619,2307],"vbox",[568,2309,2312],{"className":2310},[2311],"thinbox",[568,2313,2316,2320,2331],{"className":2314},[2315],"rlap",[568,2317],{"className":2318,"style":2319},[614],"height:0.8889em;vertical-align:-0.1944em;",[568,2321,2324],{"className":2322},[2323],"inner",[568,2325,2327],{"className":2326},[619],[568,2328,2330],{"className":2329},[1022],"",[568,2332],{"className":2333},[2334],"fix",[568,2336],{"className":2337},[963,2338],"nobreak",[568,2340,867],{"className":2341},[1022],[568,2343],{"className":2344,"style":1018},[963],[568,2346,2348,2351,2354,2357,2360],{"className":2347},[610],[568,2349],{"className":2350,"style":690},[614],[568,2352,1269],{"className":2353},[619],[568,2355],{"className":2356,"style":964},[963],[568,2358,674],{"className":2359},[807],[568,2361],{"className":2362,"style":964},[963],[568,2364,2366,2369,2372],{"className":2365},[610],[568,2367],{"className":2368,"style":735},[614],[568,2370,1312],{"className":2371},[619],[568,2373,592],{"className":2374},[619,623],". Die gemischten Produkte fehlen.",[2172,2377,2378,2379,2437,2438,2535,2536,2570],{},"Das Vorzeichen bei ",[568,2380,2382,2399],{"className":2381},[571],[568,2383,2385],{"className":2384},[575],[577,2386,2387],{"xmlns":579},[581,2388,2389,2397],{},[584,2390,2391],{},[587,2392,2393,2395],{},[590,2394,592],{},[594,2396,596],{},[598,2398,601],{"encoding":600},[568,2400,2402],{"className":2401,"ariaHidden":606},[605],[568,2403,2405,2408],{"className":2404},[610],[568,2406],{"className":2407,"style":615},[614],[568,2409,2411,2414],{"className":2410},[619],[568,2412,592],{"className":2413},[619,623],[568,2415,2417],{"className":2416},[627],[568,2418,2420],{"className":2419},[631],[568,2421,2423],{"className":2422},[635],[568,2424,2426],{"className":2425,"style":615},[639],[568,2427,2428,2431],{"style":642},[568,2429],{"className":2430,"style":647},[646],[568,2432,2434],{"className":2433},[651,652,653,654],[568,2435,596],{"className":2436},[619,654]," vergessen: ",[568,2439,2441,2469],{"className":2440},[571],[568,2442,2444],{"className":2443},[575],[577,2445,2446],{"xmlns":579},[581,2447,2448,2466],{},[584,2449,2450,2452,2454,2460,2462,2464],{},[672,2451,674],{},[594,2453,1312],{},[587,2455,2456,2458],{},[590,2457,592],{},[594,2459,596],{},[672,2461,867],{},[672,2463,842],{},[594,2465,1312],{},[598,2467,2468],{"encoding":600},"-8i^2 = +8",[568,2470,2472,2523],{"className":2471,"ariaHidden":606},[605],[568,2473,2475,2479,2482,2485,2514,2517,2520],{"className":2474},[610],[568,2476],{"className":2477,"style":2478},[614],"height:0.8974em;vertical-align:-0.0833em;",[568,2480,674],{"className":2481},[619],[568,2483,1312],{"className":2484},[619],[568,2486,2488,2491],{"className":2487},[619],[568,2489,592],{"className":2490},[619,623],[568,2492,2494],{"className":2493},[627],[568,2495,2497],{"className":2496},[631],[568,2498,2500],{"className":2499},[635],[568,2501,2503],{"className":2502,"style":615},[639],[568,2504,2505,2508],{"style":642},[568,2506],{"className":2507,"style":647},[646],[568,2509,2511],{"className":2510},[651,652,653,654],[568,2512,596],{"className":2513},[619,654],[568,2515],{"className":2516,"style":1018},[963],[568,2518,867],{"className":2519},[1022],[568,2521],{"className":2522,"style":1018},[963],[568,2524,2526,2529,2532],{"className":2525},[610],[568,2527],{"className":2528,"style":690},[614],[568,2530,842],{"className":2531},[619],[568,2533,1312],{"className":2534},[619],", nicht ",[568,2537,2539,2555],{"className":2538},[571],[568,2540,2542],{"className":2541},[575],[577,2543,2544],{"xmlns":579},[581,2545,2546,2552],{},[584,2547,2548,2550],{},[672,2549,674],{},[594,2551,1312],{},[598,2553,2554],{"encoding":600},"-8",[568,2556,2558],{"className":2557,"ariaHidden":606},[605],[568,2559,2561,2564,2567],{"className":2560},[610],[568,2562],{"className":2563,"style":690},[614],[568,2565,674],{"className":2566},[619],[568,2568,1312],{"className":2569},[619],".",[2172,2572,2573,2574,2570],{},"Beim Quadrieren den mittleren Term weglassen: ",[568,2575,2577,2619],{"className":2576},[571],[568,2578,2580],{"className":2579},[575],[577,2581,2582],{"xmlns":579},[581,2583,2584,2616],{},[584,2585,2586,2588,2590,2592,2594,2600,2602,2604,2606,2612,2614],{},[672,2587,836],{"stretchy":835},[594,2589,596],{},[672,2591,842],{},[590,2593,592],{},[587,2595,2596,2598],{},[672,2597,850],{"stretchy":835},[594,2599,596],{},[672,2601,2214],{"mathvariant":2213},[594,2603,1286],{},[672,2605,842],{},[587,2607,2608,2610],{},[590,2609,592],{},[594,2611,596],{},[672,2613,867],{},[594,2615,1269],{},[598,2617,2618],{"encoding":600},"(2 + i)^2 \\neq 4 + i^2 = 3",[568,2620,2622,2643,2724,2742,2786],{"className":2621,"ariaHidden":606},[605],[568,2623,2625,2628,2631,2634,2637,2640],{"className":2624},[610],[568,2626],{"className":2627,"style":952},[614],[568,2629,836],{"className":2630},[956],[568,2632,596],{"className":2633},[619],[568,2635],{"className":2636,"style":964},[963],[568,2638,842],{"className":2639},[807],[568,2641],{"className":2642,"style":964},[963],[568,2644,2646,2650,2653,2682,2685,2721],{"className":2645},[610],[568,2647],{"className":2648,"style":2649},[614],"height:1.0641em;vertical-align:-0.25em;",[568,2651,592],{"className":2652},[619,623],[568,2654,2656,2659],{"className":2655},[984],[568,2657,850],{"className":2658},[984],[568,2660,2662],{"className":2661},[627],[568,2663,2665],{"className":2664},[631],[568,2666,2668],{"className":2667},[635],[568,2669,2671],{"className":2670,"style":615},[639],[568,2672,2673,2676],{"style":642},[568,2674],{"className":2675,"style":647},[646],[568,2677,2679],{"className":2678},[651,652,653,654],[568,2680,596],{"className":2681},[619,654],[568,2683],{"className":2684,"style":1018},[963],[568,2686,2688,2715,2718],{"className":2687},[1022],[568,2689,2691],{"className":2690},[1022],[568,2692,2694],{"className":2693},[619,2307],[568,2695,2697],{"className":2696},[2311],[568,2698,2700,2703,2712],{"className":2699},[2315],[568,2701],{"className":2702,"style":2319},[614],[568,2704,2706],{"className":2705},[2323],[568,2707,2709],{"className":2708},[619],[568,2710,2330],{"className":2711},[1022],[568,2713],{"className":2714},[2334],[568,2716],{"className":2717},[963,2338],[568,2719,867],{"className":2720},[1022],[568,2722],{"className":2723,"style":1018},[963],[568,2725,2727,2730,2733,2736,2739],{"className":2726},[610],[568,2728],{"className":2729,"style":690},[614],[568,2731,1286],{"className":2732},[619],[568,2734],{"className":2735,"style":964},[963],[568,2737,842],{"className":2738},[807],[568,2740],{"className":2741,"style":964},[963],[568,2743,2745,2748,2777,2780,2783],{"className":2744},[610],[568,2746],{"className":2747,"style":615},[614],[568,2749,2751,2754],{"className":2750},[619],[568,2752,592],{"className":2753},[619,623],[568,2755,2757],{"className":2756},[627],[568,2758,2760],{"className":2759},[631],[568,2761,2763],{"className":2762},[635],[568,2764,2766],{"className":2765,"style":615},[639],[568,2767,2768,2771],{"style":642},[568,2769],{"className":2770,"style":647},[646],[568,2772,2774],{"className":2773},[651,652,653,654],[568,2775,596],{"className":2776},[619,654],[568,2778],{"className":2779,"style":1018},[963],[568,2781,867],{"className":2782},[1022],[568,2784],{"className":2785,"style":1018},[963],[568,2787,2789,2793],{"className":2788},[610],[568,2790],{"className":2791,"style":2792},[614],"height:0.6444em;",[568,2794,1269],{"className":2795},[619],{"title":2797,"searchDepth":2798,"depth":2798,"links":2799},"",2,[2800,2801,2802,2803],{"id":561,"depth":2798,"text":562},{"id":814,"depth":2798,"text":815},{"id":1248,"depth":2798,"text":1249},{"id":2166,"depth":2798,"text":2167},[2805,2808,2811,2813,2816,2818,2820,2822,2824,2827,2829],{"lhs":2806,"rhs":2807},"re(complex(a, b) * complex(c, d))","a*c - b*d",{"lhs":2809,"rhs":2810},"im(complex(a, b) * complex(c, d))","a*d + b*c",{"lhs":2812,"rhs":1338},"re((3 + 2*i) * (1 - 4*i))",{"lhs":2814,"rhs":2815},"im((3 + 2*i) * (1 - 4*i))","-10",{"lhs":2817,"rhs":1338},"3*1 - 2*(-4)",{"lhs":2819,"rhs":2815},"3*(-4) + 2*1",{"lhs":2821,"rhs":1269},"re((2 + i)^2)",{"lhs":2823,"rhs":1286},"im((2 + i)^2)",{"lhs":2825,"rhs":2826},"re(i * (4 + 3*i))","-3",{"lhs":2828,"rhs":1286},"im(i * (4 + 3*i))",{"lhs":2830,"rhs":2831},"abs(i * (4 + 3*i))","abs(4 + 3*i)","a, b, c, d \\in \\mathbb{R}","\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>\u003Cmo>∈\u003C\u002Fmo>\u003Cmi mathvariant=\"double-struck\">R\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">a, b, c, d \\in \\mathbb{R}\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>\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:0.6889em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathbb\">R\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",null,"md","complex-multiplication","(a + bi)(c + di) = (ac - bd) + (ad + bc)\\,i","\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>\u003Cmi>i\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo 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