展开 (128(-3x^2+16))/((x^2+16)^3)

解答

展开

\frac{128 ( - 3 x ^{2} + 16 )}{( x ^{2} + 16 ) ^{3}}

\frac{- 384 x ^{2} + 2048}{x ^{6} + 48 x ^{4} + 768 x ^{2} + 4096}

求解步骤

\frac{128 ( - 3 x ^{2} + 16 )}{( x ^{2} + 16 ) ^{3}}

(x^{2} + 16)^{3} = x^{6} + 48 x^{4} + 768 x^{2} + 4096

= \frac{128 ( - 3 x ^{2} + 16 )}{x ^{6} + 48 x ^{4} + 768 x ^{2} + 4096}

乘开

128 (- 3 x^{2} + 16) : - 384 x^{2} + 2048

= \frac{- 384 x ^{2} + 2048}{x ^{6} + 48 x ^{4} + 768 x ^{2} + 4096}

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