Дано
$$frac{x^{100} – 2 x^{51} + 1}{x^{2} – 1}$$
Численный ответ
(1.0 + x^100 – 2.0*x^51)/(-1.0 + x^2)
Объединение рациональных выражений
$$frac{x^{51} left(x^{49} – 2right) + 1}{x^{2} – 1}$$
Общий знаменатель
2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 2
1 + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x – 2*x – 2*x – 2*x – 2*x – 2*x – 2*x – 2*x – 2*x – 2*x – 2*x – 2*x – 2*x – 2*x – 2*x – 2*x – 2*x – 2*x – 2*x – 2*x – 2*x – 2*x – 2*x – 2*x – 2*x – 2*x – —–
1 + x
$$x^{98} + x^{96} + x^{94} + x^{92} + x^{90} + x^{88} + x^{86} + x^{84} + x^{82} + x^{80} + x^{78} + x^{76} + x^{74} + x^{72} + x^{70} + x^{68} + x^{66} + x^{64} + x^{62} + x^{60} + x^{58} + x^{56} + x^{54} + x^{52} + x^{50} – 2 x^{49} + x^{48} – 2 x^{47} + x^{46} – 2 x^{45} + x^{44} – 2 x^{43} + x^{42} – 2 x^{41} + x^{40} – 2 x^{39} + x^{38} – 2 x^{37} + x^{36} – 2 x^{35} + x^{34} – 2 x^{33} + x^{32} – 2 x^{31} + x^{30} – 2 x^{29} + x^{28} – 2 x^{27} + x^{26} – 2 x^{25} + x^{24} – 2 x^{23} + x^{22} – 2 x^{21} + x^{20} – 2 x^{19} + x^{18} – 2 x^{17} + x^{16} – 2 x^{15} + x^{14} – 2 x^{13} + x^{12} – 2 x^{11} + x^{10} – 2 x^{9} + x^{8} – 2 x^{7} + x^{6} – 2 x^{5} + x^{4} – 2 x^{3} + x^{2} – 2 x + 1 – frac{2}{x + 1}$$
Комбинаторика
51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50
-1 + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x + x – x – x – x – x – x – x – x – x – x – x – x – x – x – x – x – x – x – x – x – x – x – x – x – x – x – x – x – x – x – x – x – x – x – x – x – x – x – x – x – x – x – x – x – x – x – x – x – x – x – x
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1 + x
$$frac{1}{x + 1} left(x^{99} + x^{98} + x^{97} + x^{96} + x^{95} + x^{94} + x^{93} + x^{92} + x^{91} + x^{90} + x^{89} + x^{88} + x^{87} + x^{86} + x^{85} + x^{84} + x^{83} + x^{82} + x^{81} + x^{80} + x^{79} + x^{78} + x^{77} + x^{76} + x^{75} + x^{74} + x^{73} + x^{72} + x^{71} + x^{70} + x^{69} + x^{68} + x^{67} + x^{66} + x^{65} + x^{64} + x^{63} + x^{62} + x^{61} + x^{60} + x^{59} + x^{58} + x^{57} + x^{56} + x^{55} + x^{54} + x^{53} + x^{52} + x^{51} – x^{50} – x^{49} – x^{48} – x^{47} – x^{46} – x^{45} – x^{44} – x^{43} – x^{42} – x^{41} – x^{40} – x^{39} – x^{38} – x^{37} – x^{36} – x^{35} – x^{34} – x^{33} – x^{32} – x^{31} – x^{30} – x^{29} – x^{28} – x^{27} – x^{26} – x^{25} – x^{24} – x^{23} – x^{22} – x^{21} – x^{20} – x^{19} – x^{18} – x^{17} – x^{16} – x^{15} – x^{14} – x^{13} – x^{12} – x^{11} – x^{10} – x^{9} – x^{8} – x^{7} – x^{6} – x^{5} – x^{4} – x^{3} – x^{2} – x – 1right)$$
