展開する (186624x(-36x^2+1))/((1+36x^2)^4)

解

展開する

\frac{186624 x ( - 36 x ^{2} + 1 )}{( 1 + 36 x ^{2} ) ^{4}}

\frac{- 6718464 x ^{3} + 186624 x}{1 + 144 x ^{2} + 7776 x ^{4} + 186624 x ^{6} + 1679616 x ^{8}}

解答ステップ

\frac{186624 x ( - 36 x ^{2} + 1 )}{( 1 + 36 x ^{2} ) ^{4}}

(1 + 36 x^{2})^{4} = 1 + 144 x^{2} + 7776 x^{4} + 186624 x^{6} + 1679616 x^{8}

= \frac{186624 x ( - 36 x ^{2} + 1 )}{1 + 144 x ^{2} + 7776 x ^{4} + 186624 x ^{6} + 1679616 x ^{8}}

拡張

186624 x (- 36 x^{2} + 1) : - 6718464 x^{3} + 186624 x

= \frac{- 6718464 x ^{3} + 186624 x}{1 + 144 x ^{2} + 7776 x ^{4} + 186624 x ^{6} + 1679616 x ^{8}}