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q",[572,1154,1156,1185],{"className":1155,"ariaHidden":629},[628],[572,1157,1159,1163,1170,1173,1176,1179,1182],{"className":1158},[633],[572,1160],{"className":1161,"style":1162},[637],"height:0.8889em;vertical-align:-0.1944em;",[572,1164,1166],{"className":1165},[848],[572,1167,1136],{"className":1168},[642,1169],"mathrm",[572,1171],{"className":1172,"style":856},[855],[572,1174,564],{"className":1175},[642,686],[572,1177],{"className":1178,"style":992},[855],[572,1180,1143],{"className":1181},[996],[572,1183],{"className":1184,"style":992},[855],[572,1186,1188,1191,1197,1200],{"className":1187},[633],[572,1189],{"className":1190,"style":1162},[637],[572,1192,1194],{"className":1193},[848],[572,1195,1136],{"className":1196},[642,1169],[572,1198],{"className":1199,"style":856},[855],[572,1201,613],{"className":1202,"style":687},[642,686],", zuerst eine Polynomdivision durchführen.",[1116,1205,1206],{},[568,1207,1208],{},"Nenner faktorisieren.",[1116,1210,1211,1214],{},[568,1212,1213],{},"Ansatz"," nach den Faktoren aufstellen.",[1116,1216,1217,1220],{},[568,1218,1219],{},"Koeffizienten bestimmen",": mit Hauptnenner multiplizieren, dann Nullstellen einsetzen oder einen Koeffizientenvergleich machen.",[564,1222,1223,1224,1226,1227,1298,1299,1401,1402,1496],{},"Bei einfachen Nullstellen liefert die ",[568,1225,554],{}," jeden Koeffizienten direkt: ",[572,1228,1230,1248],{"className":1229},[575],[572,1231,1233],{"className":1232},[579],[581,1234,1235],{"xmlns":583},[585,1236,1237,1245],{},[588,1238,1239],{},[783,1240,1241,1243],{},[596,1242,774],{},[596,1244,789],{},[621,1246,1247],{"encoding":623},"A_k",[572,1249,1251],{"className":1250,"ariaHidden":629},[628],[572,1252,1254,1258],{"className":1253},[633],[572,1255],{"className":1256,"style":1257},[637],"height:0.8333em;vertical-align:-0.15em;",[572,1259,1261,1264],{"className":1260},[642],[572,1262,774],{"className":1263},[642,686],[572,1265,1267],{"className":1266},[903],[572,1268,1270,1290],{"className":1269},[654,655],[572,1271,1273,1287],{"className":1272},[659],[572,1274,1276],{"className":1275,"style":1059},[663],[572,1277,1278,1281],{"style":1062},[572,1279],{"className":1280,"style":1066},[671],[572,1282,1284],{"className":1283},[676,677,678,679],[572,1285,789],{"className":1286,"style":929},[642,686,679],[572,1288,737],{"className":1289},[736],[572,1291,1293],{"className":1292},[659],[572,1294,1296],{"className":1295,"style":1082},[663],[572,1297],{}," ist der Rest des Bruchs, wenn man den Faktor ",[572,1300,1302,1328],{"className":1301},[575],[572,1303,1305],{"className":1304},[579],[581,1306,1307],{"xmlns":583},[585,1308,1309,1325],{},[588,1310,1311,1313,1315,1317,1323],{},[599,1312,602],{"stretchy":601},[596,1314,605],{},[599,1316,781],{},[783,1318,1319,1321],{},[596,1320,605],{},[596,1322,789],{},[599,1324,608],{"stretchy":601},[621,1326,1327],{"encoding":623},"(x - x_k)",[572,1329,1331,1352],{"className":1330,"ariaHidden":629},[628],[572,1332,1334,1337,1340,1343,1346,1349],{"className":1333},[633],[572,1335],{"className":1336,"style":1006},[637],[572,1338,602],{"className":1339},[646],[572,1341,605],{"className":1342},[642,686],[572,1344],{"className":1345,"style":1028},[855],[572,1347,781],{"className":1348},[893],[572,1350],{"className":1351,"style":1028},[855],[572,1353,1355,1358,1398],{"className":1354},[633],[572,1356],{"className":1357,"style":1006},[637],[572,1359,1361,1364],{"className":1360},[642],[572,1362,605],{"className":1363},[642,686],[572,1365,1367],{"className":1366},[903],[572,1368,1370,1390],{"className":1369},[654,655],[572,1371,1373,1387],{"className":1372},[659],[572,1374,1376],{"className":1375,"style":1059},[663],[572,1377,1378,1381],{"style":1062},[572,1379],{"className":1380,"style":1066},[671],[572,1382,1384],{"className":1383},[676,677,678,679],[572,1385,789],{"className":1386,"style":929},[642,686,679],[572,1388,737],{"className":1389},[736],[572,1391,1393],{"className":1392},[659],[572,1394,1396],{"className":1395,"style":1082},[663],[572,1397],{},[572,1399,608],{"className":1400},[697]," zuhält und ",[572,1403,1405,1427],{"className":1404},[575],[572,1406,1408],{"className":1407},[579],[581,1409,1410],{"xmlns":583},[585,1411,1412,1424],{},[588,1413,1414,1416,1418],{},[596,1415,605],{},[599,1417,801],{},[783,1419,1420,1422],{},[596,1421,605],{},[596,1423,789],{},[621,1425,1426],{"encoding":623},"x = x_k",[572,1428,1430,1449],{"className":1429,"ariaHidden":629},[628],[572,1431,1433,1437,1440,1443,1446],{"className":1432},[633],[572,1434],{"className":1435,"style":1436},[637],"height:0.4306em;",[572,1438,605],{"className":1439},[642,686],[572,1441],{"className":1442,"style":992},[855],[572,1444,801],{"className":1445},[996],[572,1447],{"className":1448,"style":992},[855],[572,1450,1452,1456],{"className":1451},[633],[572,1453],{"className":1454,"style":1455},[637],"height:0.5806em;vertical-align:-0.15em;",[572,1457,1459,1462],{"className":1458},[642],[572,1460,605],{"className":1461},[642,686],[572,1463,1465],{"className":1464},[903],[572,1466,1468,1488],{"className":1467},[654,655],[572,1469,1471,1485],{"className":1470},[659],[572,1472,1474],{"className":1473,"style":1059},[663],[572,1475,1476,1479],{"style":1062},[572,1477],{"className":1478,"style":1066},[671],[572,1480,1482],{"className":1481},[676,677,678,679],[572,1483,789],{"className":1484,"style":929},[642,686,679],[572,1486,737],{"className":1487},[736],[572,1489,1491],{"className":1490},[659],[572,1492,1494],{"className":1493,"style":1082},[663],[572,1495],{}," einsetzt.",[564,1498,1499],{},"Ansatz für andere Faktoren:",[1501,1502,1503,2164],"ul",{},[1116,1504,1505,1506,1602,1603,1108],{},"Mehrfache Nullstelle ",[572,1507,1509,1538],{"className":1508},[575],[572,1510,1512],{"className":1511},[579],[581,1513,1514],{"xmlns":583},[585,1515,1516,1535],{},[588,1517,1518,1520,1522,1524,1527],{},[599,1519,602],{"stretchy":601},[596,1521,605],{},[599,1523,781],{},[596,1525,1526],{},"a",[1528,1529,1530,1532],"msup",{},[599,1531,608],{"stretchy":601},[596,1533,1534],{},"m",[621,1536,1537],{"encoding":623},"(x - a)^m",[572,1539,1541,1562],{"className":1540,"ariaHidden":629},[628],[572,1542,1544,1547,1550,1553,1556,1559],{"className":1543},[633],[572,1545],{"className":1546,"style":1006},[637],[572,1548,602],{"className":1549},[646],[572,1551,605],{"className":1552},[642,686],[572,1554],{"className":1555,"style":1028},[855],[572,1557,781],{"className":1558},[893],[572,1560],{"className":1561,"style":1028},[855],[572,1563,1565,1568,1571],{"className":1564},[633],[572,1566],{"className":1567,"style":1006},[637],[572,1569,1526],{"className":1570},[642,686],[572,1572,1574,1577],{"className":1573},[697],[572,1575,608],{"className":1576},[697],[572,1578,1580],{"className":1579},[903],[572,1581,1583],{"className":1582},[654],[572,1584,1586],{"className":1585},[659],[572,1587,1590],{"className":1588,"style":1589},[663],"height:0.6644em;",[572,1591,1593,1596],{"style":1592},"top:-3.063em;margin-right:0.05em;",[572,1594],{"className":1595,"style":1066},[671],[572,1597,1599],{"className":1598},[676,677,678,679],[572,1600,1534],{"className":1601},[642,686,679],": Brüche ",[572,1604,1606,1695],{"className":1605},[575],[572,1607,1609],{"className":1608},[579],[581,1610,1611],{"xmlns":583},[585,1612,1613,1692],{},[588,1614,1615,1634,1636,1661,1663,1666,1668],{},[591,1616,1617,1626],{},[783,1618,1619,1622],{},[596,1620,1621],{},"B",[1623,1624,1625],"mn",{},"1",[588,1627,1628,1630,1632],{},[596,1629,605],{},[599,1631,781],{},[596,1633,1526],{},[599,1635,828],{},[591,1637,1638,1645],{},[783,1639,1640,1642],{},[596,1641,1621],{},[1623,1643,1644],{},"2",[588,1646,1647,1649,1651,1653,1655],{},[599,1648,602],{"stretchy":601},[596,1650,605],{},[599,1652,781],{},[596,1654,1526],{},[1528,1656,1657,1659],{},[599,1658,608],{"stretchy":601},[1623,1660,1644],{},[599,1662,828],{},[599,1664,1665],{},"⋯",[599,1667,828],{},[591,1669,1670,1676],{},[783,1671,1672,1674],{},[596,1673,1621],{},[596,1675,1534],{},[588,1677,1678,1680,1682,1684,1686],{},[599,1679,602],{"stretchy":601},[596,1681,605],{},[599,1683,781],{},[596,1685,1526],{},[1528,1687,1688,1690],{},[599,1689,608],{"stretchy":601},[596,1691,1534],{},[621,1693,1694],{"encoding":623},"\\frac{B_1}{x 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Zuhalten von ",[572,2726,2728,2750],{"className":2727},[575],[572,2729,2731],{"className":2730},[579],[581,2732,2733],{"xmlns":583},[585,2734,2735,2747],{},[588,2736,2737,2739,2741,2743,2745],{},[599,2738,602],{"stretchy":601},[596,2740,605],{},[599,2742,781],{},[1623,2744,1625],{},[599,2746,608],{"stretchy":601},[621,2748,2749],{"encoding":623},"(x - 1)",[572,2751,2753,2774],{"className":2752,"ariaHidden":629},[628],[572,2754,2756,2759,2762,2765,2768,2771],{"className":2755},[633],[572,2757],{"className":2758,"style":1006},[637],[572,2760,602],{"className":2761},[646],[572,2763,605],{"className":2764},[642,686],[572,2766],{"className":2767,"style":1028},[855],[572,2769,781],{"className":2770},[893],[572,2772],{"className":2773,"style":1028},[855],[572,2775,2777,2780,2783],{"className":2776},[633],[572,2778],{"className":2779,"style":1006},[637],[572,2781,1625],{"className":2782},[642],[572,2784,608],{"className":2785},[697]," und 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Zuhalten von ",[572,3030,3032,3054],{"className":3031},[575],[572,3033,3035],{"className":3034},[579],[581,3036,3037],{"xmlns":583},[585,3038,3039,3051],{},[588,3040,3041,3043,3045,3047,3049],{},[599,3042,602],{"stretchy":601},[596,3044,605],{},[599,3046,828],{},[1623,3048,1644],{},[599,3050,608],{"stretchy":601},[621,3052,3053],{"encoding":623},"(x + 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1}",[572,5717,5719,5843,5926],{"className":5718,"ariaHidden":629},[628],[572,5720,5722,5725,5834,5837,5840],{"className":5721},[633],[572,5723],{"className":5724,"style":4457},[637],[572,5726,5728,5731,5831],{"className":5727},[642],[572,5729],{"className":5730},[646,647],[572,5732,5734],{"className":5733},[591],[572,5735,5737,5823],{"className":5736},[654,655],[572,5738,5740,5820],{"className":5739},[659],[572,5741,5743,5798,5806],{"className":5742,"style":2530},[663],[572,5744,5745,5748],{"style":667},[572,5746],{"className":5747,"style":672},[671],[572,5749,5751],{"className":5750},[676,677,678,679],[572,5752,5754,5757,5760,5789,5792,5795],{"className":5753},[642,679],[572,5755,605],{"className":5756},[642,686,679],[572,5758,602],{"className":5759},[646,679],[572,5761,5763,5766],{"className":5762},[642,679],[572,5764,605],{"className":5765},[642,686,679],[572,5767,5769],{"className":5768},[903],[572,5770,5772],{"className":5771},[654],[572,5773,5775],{"className":5774},[659],[572,5776,5778],{"className":5777,"style":1898},[663],[572,5779,5780,5783],{"style":1901},[572,5781],{"className":5782,"style":920},[671],[572,5784,5786],{"className":5785},[676,924,925,679],[572,5787,1644],{"className":5788},[642,679],[572,5790,828],{"className":5791},[893,679],[572,5793,1625],{"className":5794},[642,679],[572,5796,608],{"className":5797},[697,679],[572,5799,5800,5803],{"style":700},[572,5801],{"className":5802,"style":672},[671],[572,5804],{"className":5805,"style":708},[707],[572,5807,5808,5811],{"style":952},[572,5809],{"className":5810,"style":672},[671],[572,5812,5814],{"className":5813},[676,677,678,679],[572,5815,5817],{"className":5816},[642,679],[572,5818,1625],{"className":5819},[642,679],[572,5821,737],{"className":5822},[736],[572,5824,5826],{"className":5825},[659],[572,5827,5829],{"className":5828,"style":744},[663],[572,5830],{},[572,5832],{"className":5833},[697,647],[572,5835],{"className":5836,"style":992},[855],[572,5838,801],{"className":5839},[996],[572,5841],{"className":5842,"style":992},[855],[572,5844,5846,5849,5917,5920,5923],{"className":5845},[633],[572,5847],{"className":5848,"style":2940},[637],[572,5850,5852,5855,5914],{"className":5851},[642],[572,5853],{"className":5854},[646,647],[572,5856,5858],{"className":5857},[591],[572,5859,5861,5906],{"className":5860},[654,655],[572,5862,5864,5903],{"className":5863},[659],[572,5865,5867,5881,5889],{"className":5866,"style":2530},[663],[572,5868,5869,5872],{"style":667},[572,5870],{"className":5871,"style":672},[671],[572,5873,5875],{"className":5874},[676,677,678,679],[572,5876,5878],{"className":5877},[642,679],[572,5879,605],{"className":5880},[642,686,679],[572,5882,5883,5886],{"style":700},[572,5884],{"className":5885,"style":672},[671],[572,5887],{"className":5888,"style":708},[707],[572,5890,5891,5894],{"style":952},[572,5892],{"className":5893,"style":672},[671],[572,5895,5897],{"className":5896},[676,677,678,679],[572,5898,5900],{"className":5899},[642,679],[572,5901,1625],{"className":5902},[642,679],[572,5904,737],{"className":5905},[736],[572,5907,5909],{"className":5908},[659],[572,5910,5912],{"className":5911,"style":3004},[663],[572,5913],{},[572,5915],{"className":5916},[697,647],[572,5918],{"className":5919,"style":1028},[855],[572,5921,781],{"className":5922},[893],[572,5924],{"className":5925,"style":1028},[855],[572,5927,5929,5933],{"className":5928},[633],[572,5930],{"className":5931,"style":5932},[637],"height:1.0987em;vertical-align:-0.4033em;",[572,5934,5936,5939,6031],{"className":5935},[642],[572,5937],{"className":5938},[646,647],[572,5940,5942],{"className":5941},[591],[572,5943,5945,6023],{"className":5944},[654,655],[572,5946,5948,6020],{"className":5947},[659],[572,5949,5952,5998,6006],{"className":5950,"style":5951},[663],"height:0.6954em;",[572,5953,5954,5957],{"style":667},[572,5955],{"className":5956,"style":672},[671],[572,5958,5960],{"className":5959},[676,677,678,679],[572,5961,5963,5992,5995],{"className":5962},[642,679],[572,5964,5966,5969],{"className":5965},[642,679],[572,5967,605],{"className":5968},[642,686,679],[572,5970,5972],{"className":5971},[903],[572,5973,5975],{"className":5974},[654],[572,5976,5978],{"className":5977},[659],[572,5979,5981],{"className":5980,"style":1898},[663],[572,5982,5983,5986],{"style":1901},[572,5984],{"className":5985,"style":920},[671],[572,5987,5989],{"className":5988},[676,924,925,679],[572,5990,1644],{"className":5991},[642,679],[572,5993,828],{"className":5994},[893,679],[572,5996,1625],{"className":5997},[642,679],[572,5999,6000,6003],{"style":700},[572,6001],{"className":6002,"style":672},[671],[572,6004],{"className":6005,"style":708},[707],[572,6007,6008,6011],{"style":952},[572,6009],{"className":6010,"style":672},[671],[572,6012,6014],{"className":6013},[676,677,678,679],[572,6015,6017],{"className":6016},[642,679],[572,6018,605],{"className":6019},[642,686,679],[572,6021,737],{"className":6022},[736],[572,6024,6026],{"className":6025},[659],[572,6027,6029],{"className":6028,"style":1817},[663],[572,6030],{},[572,6032],{"className":6033},[697,647],[559,6035,6037],{"id":6036},"typische-fehler","Typische Fehler",[1501,6039,6040,6595,6861,6921],{},[1116,6041,6042,6043,6217,6218,6431,6432,6594],{},"Bei unecht gebrochenen Ausdrücken die Polynomdivision vergessen. Für ",[572,6044,6046,6078],{"className":6045},[575],[572,6047,6049],{"className":6048},[579],[581,6050,6051],{"xmlns":583},[585,6052,6053,6075],{},[588,6054,6055],{},[591,6056,6057,6063],{},[1528,6058,6059,6061],{},[596,6060,605],{},[1623,6062,1644],{},[588,6064,6065,6071,6073],{},[1528,6066,6067,6069],{},[596,6068,605],{},[1623,6070,1644],{},[599,6072,781],{},[1623,6074,1625],{},[621,6076,6077],{"encoding":623},"\\frac{x^2}{x^2 - 1}",[572,6079,6081],{"className":6080,"ariaHidden":629},[628],[572,6082,6084,6088],{"className":6083},[633],[572,6085],{"className":6086,"style":6087},[637],"height:1.4213em;vertical-align:-0.4033em;",[572,6089,6091,6094,6214],{"className":6090},[642],[572,6092],{"className":6093},[646,647],[572,6095,6097],{"className":6096},[591],[572,6098,6100,6206],{"className":6099},[654,655],[572,6101,6103,6203],{"className":6102},[659],[572,6104,6107,6153,6161],{"className":6105,"style":6106},[663],"height:1.0179em;",[572,6108,6109,6112],{"style":667},[572,6110],{"className":6111,"style":672},[671],[572,6113,6115],{"className":6114},[676,677,678,679],[572,6116,6118,6147,6150],{"className":6117},[642,679],[572,6119,6121,6124],{"className":6120},[642,679],[572,6122,605],{"className":6123},[642,686,679],[572,6125,6127],{"className":6126},[903],[572,6128,6130],{"className":6129},[654],[572,6131,6133],{"className":6132},[659],[572,6134,6136],{"className":6135,"style":1898},[663],[572,6137,6138,6141],{"style":1901},[572,6139],{"className":6140,"style":920},[671],[572,6142,6144],{"className":6143},[676,924,925,679],[572,6145,1644],{"className":6146},[642,679],[572,6148,781],{"className":6149},[893,679],[572,6151,1625],{"className":6152},[642,679],[572,6154,6155,6158],{"style":700},[572,6156],{"className":6157,"style":672},[671],[572,6159],{"className":6160,"style":708},[707],[572,6162,6163,6166],{"style":952},[572,6164],{"className":6165,"style":672},[671],[572,6167,6169],{"className":6168},[676,677,678,679],[572,6170,6172],{"className":6171},[642,679],[572,6173,6175,6178],{"className":6174},[642,679],[572,6176,605],{"className":6177},[642,686,679],[572,6179,6181],{"className":6180},[903],[572,6182,6184],{"className":6183},[654],[572,6185,6187],{"className":6186},[659],[572,6188,6191],{"className":6189,"style":6190},[663],"height:0.8913em;",[572,6192,6194,6197],{"style":6193},"top:-2.931em;margin-right:0.0714em;",[572,6195],{"className":6196,"style":920},[671],[572,6198,6200],{"className":6199},[676,924,925,679],[572,6201,1644],{"className":6202},[642,679],[572,6204,737],{"className":6205},[736],[572,6207,6209],{"className":6208},[659],[572,6210,6212],{"className":6211,"style":1817},[663],[572,6213],{},[572,6215],{"className":6216},[697,647]," ist der Ansatz ",[572,6219,6221,6259],{"className":6220},[575],[572,6222,6224],{"className":6223},[579],[581,6225,6226],{"xmlns":583},[585,6227,6228,6256],{},[588,6229,6230,6242,6244],{},[591,6231,6232,6234],{},[596,6233,774],{},[588,6235,6236,6238,6240],{},[596,6237,605],{},[599,6239,781],{},[1623,6241,1625],{},[599,6243,828],{},[591,6245,6246,6248],{},[596,6247,1621],{},[588,6249,6250,6252,6254],{},[596,6251,605],{},[599,6253,828],{},[1623,6255,1625],{},[621,6257,6258],{"encoding":623},"\\frac{A}{x - 1} + \\frac{B}{x + 1}",[572,6260,6262,6351],{"className":6261,"ariaHidden":629},[628],[572,6263,6265,6268,6342,6345,6348],{"className":6264},[633],[572,6266],{"className":6267,"style":2335},[637],[572,6269,6271,6274,6339],{"className":6270},[642],[572,6272],{"className":6273},[646,647],[572,6275,6277],{"className":6276},[591],[572,6278,6280,6331],{"className":6279},[654,655],[572,6281,6283,6328],{"className":6282},[659],[572,6284,6286,6306,6314],{"className":6285,"style":875},[663],[572,6287,6288,6291],{"style":667},[572,6289],{"className":6290,"style":672},[671],[572,6292,6294],{"className":6293},[676,677,678,679],[572,6295,6297,6300,6303],{"className":6296},[642,679],[572,6298,605],{"className":6299},[642,686,679],[572,6301,781],{"className":6302},[893,679],[572,6304,1625],{"className":6305},[642,679],[572,6307,6308,6311],{"style":700},[572,6309],{"className":6310,"style":672},[671],[572,6312],{"className":6313,"style":708},[707],[572,6315,6316,6319],{"style":952},[572,6317],{"className":6318,"style":672},[671],[572,6320,6322],{"className":6321},[676,677,678,679],[572,6323,6325],{"className":6324},[642,679],[572,6326,774],{"className":6327},[642,686,679],[572,6329,737],{"className":6330},[736],[572,6332,6334],{"className":6333},[659],[572,6335,6337],{"className":6336,"style":1817},[663],[572,6338],{},[572,6340],{"className":6341},[697,647],[572,6343],{"className":6344,"style":1028},[855],[572,6346,828],{"className":6347},[893],[572,6349],{"className":6350,"style":1028},[855],[572,6352,6354,6357],{"className":6353},[633],[572,6355],{"className":6356,"style":2335},[637],[572,6358,6360,6363,6428],{"className":6359},[642],[572,6361],{"className":6362},[646,647],[572,6364,6366],{"className":6365},[591],[572,6367,6369,6420],{"className":6368},[654,655],[572,6370,6372,6417],{"className":6371},[659],[572,6373,6375,6395,6403],{"className":6374,"style":875},[663],[572,6376,6377,6380],{"style":667},[572,6378],{"className":6379,"style":672},[671],[572,6381,6383],{"className":6382},[676,677,678,679],[572,6384,6386,6389,6392],{"className":6385},[642,679],[572,6387,605],{"className":6388},[642,686,679],[572,6390,828],{"className":6391},[893,679],[572,6393,1625],{"className":6394},[642,679],[572,6396,6397,6400],{"style":700},[572,6398],{"className":6399,"style":672},[671],[572,6401],{"className":6402,"style":708},[707],[572,6404,6405,6408],{"style":952},[572,6406],{"className":6407,"style":672},[671],[572,6409,6411],{"className":6410},[676,677,678,679],[572,6412,6414],{"className":6413},[642,679],[572,6415,1621],{"className":6416,"style":1770},[642,686,679],[572,6418,737],{"className":6419},[736],[572,6421,6423],{"className":6422},[659],[572,6424,6426],{"className":6425,"style":1817},[663],[572,6427],{},[572,6429],{"className":6430},[697,647]," falsch; zuerst ",[572,6433,6435,6467],{"className":6434},[575],[572,6436,6438],{"className":6437},[579],[581,6439,6440],{"xmlns":583},[585,6441,6442,6464],{},[588,6443,6444,6446,6448],{},[1623,6445,1625],{},[599,6447,828],{},[591,6449,6450,6452],{},[1623,6451,1625],{},[588,6453,6454,6460,6462],{},[1528,6455,6456,6458],{},[596,6457,605],{},[1623,6459,1644],{},[599,6461,781],{},[1623,6463,1625],{},[621,6465,6466],{"encoding":623},"1 + \\frac{1}{x^2 - 1}",[572,6468,6470,6488],{"className":6469,"ariaHidden":629},[628],[572,6471,6473,6476,6479,6482,6485],{"className":6472},[633],[572,6474],{"className":6475,"style":3140},[637],[572,6477,1625],{"className":6478},[642],[572,6480],{"className":6481,"style":1028},[855],[572,6483,828],{"className":6484},[893],[572,6486],{"className":6487,"style":1028},[855],[572,6489,6491,6494],{"className":6490},[633],[572,6492],{"className":6493,"style":2511},[637],[572,6495,6497,6500,6591],{"className":6496},[642],[572,6498],{"className":6499},[646,647],[572,6501,6503],{"className":6502},[591],[572,6504,6506,6583],{"className":6505},[654,655],[572,6507,6509,6580],{"className":6508},[659],[572,6510,6512,6558,6566],{"className":6511,"style":2530},[663],[572,6513,6514,6517],{"style":667},[572,6515],{"className":6516,"style":672},[671],[572,6518,6520],{"className":6519},[676,677,678,679],[572,6521,6523,6552,6555],{"className":6522},[642,679],[572,6524,6526,6529],{"className":6525},[642,679],[572,6527,605],{"className":6528},[642,686,679],[572,6530,6532],{"className":6531},[903],[572,6533,6535],{"className":6534},[654],[572,6536,6538],{"className":6537},[659],[572,6539,6541],{"className":6540,"style":1898},[663],[572,6542,6543,6546],{"style":1901},[572,6544],{"className":6545,"style":920},[671],[572,6547,6549],{"className":6548},[676,924,925,679],[572,6550,1644],{"className":6551},[642,679],[572,6553,781],{"className":6554},[893,679],[572,6556,1625],{"className":6557},[642,679],[572,6559,6560,6563],{"style":700},[572,6561],{"className":6562,"style":672},[671],[572,6564],{"className":6565,"style":708},[707],[572,6567,6568,6571],{"style":952},[572,6569],{"className":6570,"style":672},[671],[572,6572,6574],{"className":6573},[676,677,678,679],[572,6575,6577],{"className":6576},[642,679],[572,6578,1625],{"className":6579},[642,679],[572,6581,737],{"className":6582},[736],[572,6584,6586],{"className":6585},[659],[572,6587,6589],{"className":6588,"style":1817},[663],[572,6590],{},[572,6592],{"className":6593},[697,647]," abspalten.",[1116,6596,6597,6598,6749,6750,6860],{},"Bei einer doppelten Nullstelle nur ",[572,6599,6601,6633],{"className":6600},[575],[572,6602,6604],{"className":6603},[579],[581,6605,6606],{"xmlns":583},[585,6607,6608,6630],{},[588,6609,6610],{},[591,6611,6612,6614],{},[596,6613,1621],{},[588,6615,6616,6618,6620,6622,6624],{},[599,6617,602],{"stretchy":601},[596,6619,605],{},[599,6621,781],{},[596,6623,1526],{},[1528,6625,6626,6628],{},[599,6627,608],{"stretchy":601},[1623,6629,1644],{},[621,6631,6632],{"encoding":623},"\\frac{B}{(x - a)^2}",[572,6634,6636],{"className":6635,"ariaHidden":629},[628],[572,6637,6639,6643],{"className":6638},[633],[572,6640],{"className":6641,"style":6642},[637],"height:1.3923em;vertical-align:-0.52em;",[572,6644,6646,6649,6746],{"className":6645},[642],[572,6647],{"className":6648},[646,647],[572,6650,6652],{"className":6651},[591],[572,6653,6655,6738],{"className":6654},[654,655],[572,6656,6658,6735],{"className":6657},[659],[572,6659,6661,6713,6721],{"className":6660,"style":875},[663],[572,6662,6663,6666],{"style":667},[572,6664],{"className":6665,"style":672},[671],[572,6667,6669],{"className":6668},[676,677,678,679],[572,6670,6672,6675,6678,6681,6684],{"className":6671},[642,679],[572,6673,602],{"className":6674},[646,679],[572,6676,605],{"className":6677},[642,686,679],[572,6679,781],{"className":6680},[893,679],[572,6682,1526],{"className":6683},[642,686,679],[572,6685,6687,6690],{"className":6686},[697,679],[572,6688,608],{"className":6689},[697,679],[572,6691,6693],{"className":6692},[903],[572,6694,6696],{"className":6695},[654],[572,6697,6699],{"className":6698},[659],[572,6700,6702],{"className":6701,"style":1898},[663],[572,6703,6704,6707],{"style":1901},[572,6705],{"className":6706,"style":920},[671],[572,6708,6710],{"className":6709},[676,924,925,679],[572,6711,1644],{"className":6712},[642,679],[572,6714,6715,6718],{"style":700},[572,6716],{"className":6717,"style":672},[671],[572,6719],{"className":6720,"style":708},[707],[572,6722,6723,6726],{"style":952},[572,6724],{"className":6725,"style":672},[671],[572,6727,6729],{"className":6728},[676,677,678,679],[572,6730,6732],{"className":6731},[642,679],[572,6733,1621],{"className":6734,"style":1770},[642,686,679],[572,6736,737],{"className":6737},[736],[572,6739,6741],{"className":6740},[659],[572,6742,6744],{"className":6743,"style":744},[663],[572,6745],{},[572,6747],{"className":6748},[697,647]," ansetzen. Der Term ",[572,6751,6753,6777],{"className":6752},[575],[572,6754,6756],{"className":6755},[579],[581,6757,6758],{"xmlns":583},[585,6759,6760,6774],{},[588,6761,6762],{},[591,6763,6764,6766],{},[596,6765,774],{},[588,6767,6768,6770,6772],{},[596,6769,605],{},[599,6771,781],{},[596,6773,1526],{},[621,6775,6776],{"encoding":623},"\\frac{A}{x - a}",[572,6778,6780],{"className":6779,"ariaHidden":629},[628],[572,6781,6783,6786],{"className":6782},[633],[572,6784],{"className":6785,"style":2335},[637],[572,6787,6789,6792,6857],{"className":6788},[642],[572,6790],{"className":6791},[646,647],[572,6793,6795],{"className":6794},[591],[572,6796,6798,6849],{"className":6797},[654,655],[572,6799,6801,6846],{"className":6800},[659],[572,6802,6804,6824,6832],{"className":6803,"style":875},[663],[572,6805,6806,6809],{"style":667},[572,6807],{"className":6808,"style":672},[671],[572,6810,6812],{"className":6811},[676,677,678,679],[572,6813,6815,6818,6821],{"className":6814},[642,679],[572,6816,605],{"className":6817},[642,686,679],[572,6819,781],{"className":6820},[893,679],[572,6822,1526],{"className":6823},[642,686,679],[572,6825,6826,6829],{"style":700},[572,6827],{"className":6828,"style":672},[671],[572,6830],{"className":6831,"style":708},[707],[572,6833,6834,6837],{"style":952},[572,6835],{"className":6836,"style":672},[671],[572,6838,6840],{"className":6839},[676,677,678,679],[572,6841,6843],{"className":6842},[642,679],[572,6844,774],{"className":6845},[642,686,679],[572,6847,737],{"className":6848},[736],[572,6850,6852],{"className":6851},[659],[572,6853,6855],{"className":6854,"style":1817},[663],[572,6856],{},[572,6858],{"className":6859},[697,647]," muss dazu.",[1116,6862,6863,6864,1108],{},"Bei einem quadratischen Faktor nur eine Konstante in den Zähler schreiben. Richtig ist ",[572,6865,6867,6887],{"className":6866},[575],[572,6868,6870],{"className":6869},[579],[581,6871,6872],{"xmlns":583},[585,6873,6874,6884],{},[588,6875,6876,6878,6880,6882],{},[596,6877,1621],{},[596,6879,605],{},[599,6881,828],{},[596,6883,831],{},[621,6885,6886],{"encoding":623},"Bx + C",[572,6888,6890,6912],{"className":6889,"ariaHidden":629},[628],[572,6891,6893,6897,6900,6903,6906,6909],{"className":6892},[633],[572,6894],{"className":6895,"style":6896},[637],"height:0.7667em;vertical-align:-0.0833em;",[572,6898,1621],{"className":6899,"style":1770},[642,686],[572,6901,605],{"className":6902},[642,686],[572,6904],{"className":6905,"style":1028},[855],[572,6907,828],{"className":6908},[893],[572,6910],{"className":6911,"style":1028},[855],[572,6913,6915,6918],{"className":6914},[633],[572,6916],{"className":6917,"style":1103},[637],[572,6919,831],{"className":6920,"style":1107},[642,686],[1116,6922,6923],{},"Die Zuhaltemethode bei mehrfachen Nullstellen für alle Koeffizienten verwenden. Sie liefert nur den Koeffizienten der höchsten Potenz.",{"title":6925,"searchDepth":6926,"depth":6926,"links":6927},"",2,[6928,6929,6930],{"id":561,"depth":6926,"text":562},{"id":2456,"depth":6926,"text":2457},{"id":6036,"depth":6926,"text":6037},[6932,6935,6940,6943,6945,6948,6951,6953,6956],{"lhs":6933,"rhs":6934},"(x - 1)*(x + 2)","x^2 + x - 2",{"lhs":6936,"rhs":6937,"where":6938},"(x + 5)\u002F(x^2 + x - 2)","2\u002F(x - 1) - 1\u002F(x + 2)",{"x":6939},4,{"lhs":6936,"rhs":6937,"where":6941},{"x":6942},-0.5,{"lhs":6944,"rhs":1644},"(1 + 5)\u002F(1 + 2)",{"lhs":6946,"rhs":6947},"(-2 + 5)\u002F(-2 - 1)","-1",{"lhs":6949,"rhs":6950},"round(sum(map(0:999, f(k) = (2 + (k + 0.5)\u002F1000 + 5)\u002F((2 + (k + 0.5)\u002F1000)^2 + (2 + (k + 0.5)\u002F1000) - 2)))\u002F1000, 4)","round(2*log(2) - log(5\u002F4), 4)",{"lhs":6950,"rhs":6952},"1.1632",{"lhs":6954,"rhs":6955},"1\u002F(x^2*(x + 1))","-1\u002Fx + 1\u002Fx^2 + 1\u002F(x + 1)",{"lhs":6957,"rhs":6958},"1\u002F(x*(x^2 + 1))","1\u002Fx - x\u002F(x^2 + 1)","x_1, \\ldots, x_n \\text{ paarweise verschieden},\\ \\operatorname{grad} p \u003C n,\\ x \\neq x_k","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmo>…\u003C\u002Fmo>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">x_1, \\ldots, x_n\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:0.625em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord 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class=\"katex\">paarweise\u003C\u002Fspan> \u003Cspan style=\"white-space: nowrap\">\u003Cspan class=\"katex\">verschieden\u003C\u002Fspan>\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">,\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:0.3em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi 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style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.625em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">n\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>x\u003C\u002Fmi>\u003Cmo mathvariant=\"normal\">≠\u003C\u002Fmo>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmi>k\u003C\u002Fmi>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">x \\neq x_k\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\">x\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">\u003Cspan class=\"mrel\">\u003Cspan class=\"mord katex-vbox\">\u003Cspan class=\"katex-thinbox\">\u003Cspan class=\"rlap\">\u003Cspan class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-inner\">\u003Cspan class=\"mord\">\u003Cspan class=\"mrel\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-fix\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace nobreak\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.5806em;vertical-align:-0.15em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3361em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",null,"md","partial-fractions","\\frac{p(x)}{(x - x_1)(x - x_2) \\cdots (x - x_n)} = \\frac{A_1}{x - x_1} + \\frac{A_2}{x - x_2} + \\dots + \\frac{A_n}{x - x_n}","\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>\u003Cmfrac>\u003Cmrow>\u003Cmi>p\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>x\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cmrow>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>x\u003C\u002Fmi>\u003Cmo>−\u003C\u002Fmo>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>x\u003C\u002Fmi>\u003Cmo>−\u003C\u002Fmo>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>⋯\u003C\u002Fmo>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>x\u003C\u002Fmi>\u003Cmo>−\u003C\u002Fmo>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003C\u002Fmfrac>\u003Cmo>=\u003C\u002Fmo>\u003Cmfrac>\u003Cmsub>\u003Cmi>A\u003C\u002Fmi>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmrow>\u003Cmi>x\u003C\u002Fmi>\u003Cmo>−\u003C\u002Fmo>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003C\u002Fmfrac>\u003Cmo>+\u003C\u002Fmo>\u003Cmfrac>\u003Cmsub>\u003Cmi>A\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmrow>\u003Cmi>x\u003C\u002Fmi>\u003Cmo>−\u003C\u002Fmo>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003C\u002Fmfrac>\u003Cmo>+\u003C\u002Fmo>\u003Cmo>⋯\u003C\u002Fmo>\u003Cmo>+\u003C\u002Fmo>\u003Cmfrac>\u003Cmsub>\u003Cmi>A\u003C\u002Fmi>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmrow>\u003Cmi>x\u003C\u002Fmi>\u003Cmo>−\u003C\u002Fmo>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003C\u002Fmfrac>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\frac{p(x)}{(x - x_1)(x - x_2) \\cdots (x - x_n)} = \\frac{A_1}{x - x_1} + \\frac{A_2}{x - x_2} + \\dots + \\frac{A_n}{x - x_n}\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:2.363em;vertical-align:-0.936em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mopen nulldelimiter\">\u003C\u002Fspan>\u003Cspan class=\"mfrac\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:1.427em;\">\u003Cspan style=\"top:-2.314em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">x\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>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">x\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>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">2\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"minner\">⋯\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">x\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>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.1514em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.23em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"frac-line\" style=\"border-bottom-width:0.04em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.677em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">p\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.936em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose nulldelimiter\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:2.1963em;vertical-align:-0.836em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mopen nulldelimiter\">\u003C\u002Fspan>\u003Cspan class=\"mfrac\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:1.3603em;\">\u003Cspan style=\"top:-2.314em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">x\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>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.23em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"frac-line\" style=\"border-bottom-width:0.04em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.677em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.836em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose nulldelimiter\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">+\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:2.1963em;vertical-align:-0.836em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mopen nulldelimiter\">\u003C\u002Fspan>\u003Cspan class=\"mfrac\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:1.3603em;\">\u003Cspan style=\"top:-2.314em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">x\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>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">2\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.23em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"frac-line\" style=\"border-bottom-width:0.04em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.677em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">2\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.836em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose nulldelimiter\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">+\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6667em;vertical-align:-0.0833em;\">\u003C\u002Fspan>\u003Cspan class=\"minner\">⋯\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:2.1963em;vertical-align:-0.836em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mopen nulldelimiter\">\u003C\u002Fspan>\u003Cspan class=\"mfrac\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:1.3603em;\">\u003Cspan style=\"top:-2.314em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">x\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>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.1514em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan 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