展开 (x^3-5x)/((1-x)^3)

解答

展开

\frac{x ^{3} - 5 x}{( 1 - x ) ^{3}}

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

求解步骤

\frac{x ^{3} - 5 x}{( 1 - x ) ^{3}}

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

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

e x p an d \frac{( s ^{2} - 4 )}{s ( s ^{2} + 4 ) ^{2}}

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

e x p an d \frac{( x ^{2} - 3 x + 7 ) d x}{( x ^{3} + x )}

\frac{\partial ^{2}}{\partial x ^{2}} ((y) (4 x^{3} + 3 x^{2} z + 5 x z^{2} + 6 z^{3} + 20))

e x p an d 3 (3 + ln (2 + 1))