展开 (4x^2)/((1-x)(1+x^2)^2)

解答

展开

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

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

求解步骤

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

(1 + x^{2})^{2} = 1 + 2 x^{2} + x^{4}

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

乘开

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

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

e x p an d \frac{1}{( x + 2 ) ( x + 3 )}

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

e x p an d \frac{s ^{3} + 3 s ^{2} - s - 3}{( s ^{2} + 2 s + 5 ) ^{2}}

e x p an d (2 x y - y + 3) d x + (3 y^{2} - x - 2) d y

e x p an d (x^{2} - 8) e^{x}