展开 1/((1+x)^7)

解答

展开

\frac{1}{( 1 + x ) ^{7}}

\frac{1}{1 + 7 x + 21 x ^{2} + 35 x ^{3} + 35 x ^{4} + 21 x ^{5} + 7 x ^{6} + x ^{7}}

求解步骤

\frac{1}{( 1 + x ) ^{7}}

(1 + x)^{7} = 1 + 7 x + 21 x^{2} + 35 x^{3} + 35 x^{4} + 21 x^{5} + 7 x^{6} + x^{7}

= \frac{1}{1 + 7 x + 21 x ^{2} + 35 x ^{3} + 35 x ^{4} + 21 x ^{5} + 7 x ^{6} + x ^{7}}

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