展开 (e^{-2x})/((x-1)(x+4)^2)

解答

展开

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

\frac{e ^{- 2 x}}{x ^{3} + 7 x ^{2} + 8 x - 16}

求解步骤

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

(x + 4)^{2} = x^{2} + 8 x + 16

= \frac{e ^{- 2 x}}{( x - 1 ) ( x ^{2} + 8 x + 16 )}

乘开

(x - 1) (x^{2} + 8 x + 16) : x^{3} + 7 x^{2} + 8 x - 16

= \frac{e ^{- 2 x}}{x ^{3} + 7 x ^{2} + 8 x - 16}

e x p an d \frac{x ^{2} ( 8 - x ) ^{3}}{24}

e x p an d \frac{d x}{( x + 5 ) ( x + 2 )}

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

e x p an d \frac{4 ( x + h ) - 5 - ( 4 ( x ) - 5 )}{h}

e x p an d \frac{180 ( x - 2 )}{x}