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Popular >

expand 1-(1/((1+x)^{20)})

Solution

expand

1 - (\frac{1}{( 1 + x ) ^{20}})

Solution

1 - \frac{1}{1 + 20 x + 190 x ^{2} + 1140 x ^{3} + 4845 x ^{4} + 15504 x ^{5} + 38760 x ^{6} + 77520 x ^{7} + 125970 x ^{8} + 167960 x ^{9} + 184756 x ^{10} + 167960 x ^{11} + 125970 x ^{12} + 77520 x ^{13} + 38760 x ^{14} + 15504 x ^{15} + 4845 x ^{16} + 1140 x ^{17} + 190 x ^{18} + 20 x ^{19} + x ^{20}}

Solution steps

1 - (\frac{1}{( 1 + x ) ^{20}})

Remove parentheses:

(a) = a

= 1 - \frac{1}{( 1 + x ) ^{20}}

(1 + x)^{20} = 1 + 20 x + 190 x^{2} + 1140 x^{3} + 4845 x^{4} + 15504 x^{5} + 38760 x^{6} + 77520 x^{7} + 125970 x^{8} + 167960 x^{9} + 184756 x^{10} + 167960 x^{11} + 125970 x^{12} + 77520 x^{13} + 38760 x^{14} + 15504 x^{15} + 4845 x^{16} + 1140 x^{17} + 190 x^{18} + 20 x^{19} + x^{20}

= 1 - \frac{1}{x ^{20} + 20 x ^{19} + 190 x ^{18} + 1140 x ^{17} + 4845 x ^{16} + 15504 x ^{15} + 38760 x ^{14} + 77520 x ^{13} + 125970 x ^{12} + 167960 x ^{11} + 184756 x ^{10} + 167960 x ^{9} + 125970 x ^{8} + 77520 x ^{7} + 38760 x ^{6} + 15504 x ^{5} + 4845 x ^{4} + 1140 x ^{3} + 190 x ^{2} + 20 x + 1}

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Frequently Asked Questions (FAQ)

What is expand 1-(1/((1+x)^{20)}) ?
The solution to expand 1-(1/((1+x)^{20)}) is