Mister Exam
How do you 2432902008176640000/(-2+x)^21 in partial fractions?
The solution
You have entered
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2432902008176640000
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21
(-2 + x)
$$\frac{2432902008176640000}{\left(x - 2\right)^{21}}$$
2432902008176640000/(-2 + x)^21
Fraction decomposition
[src]
2432902008176640000/(-2 + x)^21
$$\frac{2432902008176640000}{\left(x - 2\right)^{21}}$$
2432902008176640000
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21
(-2 + x)
Common denominator
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2432902008176640000
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21 6 8 4 10 12 2 14 16 18 20 19 17 15 13 3 11 9 5 7
-2097152 + x - 1778122752*x - 1666990080*x - 784465920*x - 722362368*x - 150492160*x - 110100480*x - 14883840*x - 651168*x - 10640*x - 42*x + 840*x + 95760*x + 3472896*x + 22020096*x + 52093440*x + 348651520*x + 361181184*x + 1203937280*x + 1333592064*x + 1905131520*x
$$\frac{2432902008176640000}{x^{21} - 42 x^{20} + 840 x^{19} - 10640 x^{18} + 95760 x^{17} - 651168 x^{16} + 3472896 x^{15} - 14883840 x^{14} + 52093440 x^{13} - 150492160 x^{12} + 361181184 x^{11} - 722362368 x^{10} + 1203937280 x^{9} - 1666990080 x^{8} + 1905131520 x^{7} - 1778122752 x^{6} + 1333592064 x^{5} - 784465920 x^{4} + 348651520 x^{3} - 110100480 x^{2} + 22020096 x - 2097152}$$
2432902008176640000/(-2097152 + x^21 - 1778122752*x^6 - 1666990080*x^8 - 784465920*x^4 - 722362368*x^10 - 150492160*x^12 - 110100480*x^2 - 14883840*x^14 - 651168*x^16 - 10640*x^18 - 42*x^20 + 840*x^19 + 95760*x^17 + 3472896*x^15 + 22020096*x + 52093440*x^13 + 348651520*x^3 + 361181184*x^11 + 1203937280*x^9 + 1333592064*x^5 + 1905131520*x^7)