展开 1/((x+1)^3(x-2))

解答

展开

\frac{1}{( x + 1 ) ^{3} ( x - 2 )}

\frac{1}{x ^{4} + x ^{3} - 3 x ^{2} - 5 x - 2}

求解步骤

\frac{1}{( x + 1 ) ^{3} ( x - 2 )}

(x + 1)^{3} = x^{3} + 3 x^{2} + 3 x + 1

= \frac{1}{( x ^{3} + 3 x ^{2} + 3 x + 1 ) ( x - 2 )}

乘开

(x^{3} + 3 x^{2} + 3 x + 1) (x - 2) : x^{4} + x^{3} - 3 x^{2} - 5 x - 2

= \frac{1}{x ^{4} + x ^{3} - 3 x ^{2} - 5 x - 2}

e x p an d - \frac{( 1 + y ) ( - 1 - 2 x - 2 x y )}{3 + x + 6 y + 3 y ^{2}}

e x p an d e^{x} \cdot (sin (x + y) + cos (x + y) + 1)

\frac{d}{d t} ((x) (t^{2} + 6))

e x p an d \frac{\frac{d}{d x} ( 1 + x ( lo g _{10} ( x ) + 1 ) )}{x}

e x p an d 145447 \cdot (1 - ((- 98.07089)^{0.234957}))