展开 (3(-x^2-16))/((x^2-16)^2)

解答

展开

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

\frac{- 3 x ^{2} - 48}{x ^{4} - 32 x ^{2} + 256}

求解步骤

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

(x^{2} - 16)^{2} = x^{4} - 32 x^{2} + 256

= \frac{3 ( - x ^{2} - 16 )}{x ^{4} - 32 x ^{2} + 256}

乘开

3 (- x^{2} - 16) : - 3 x^{2} - 48

= \frac{- 3 x ^{2} - 48}{x ^{4} - 32 x ^{2} + 256}

e x p an d \frac{d x}{( x + 1 ) ( x + 2 )}

e x p an d A (36 e^{6 t - 3 e^{t}} - 39 e^{7 t - 3 e^{t}} + 9 e^{8 t - 3 e^{t}})

e x p an d - \frac{3 x ( x - 1 ) ( x - 3 )}{4}

s im pl i f y 20 (20 + \frac{p}{5})

e x p an d - 2 (2 e^{- x^{2}} \cdot x^{2} + e^{- x^{2}})