展开 ((x^{(2)}))/(((1-x)(1+x^{(2)))^{(2)})}

解答

展开

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

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

求解步骤

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

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

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

s im pl i f y 4 (63 + 10 \cdot 1 0^{\frac{1}{2}})

\frac{\partial}{\partial s} ((x) (s + t))

e x p an d \frac{x + 2}{x ( x ^{2} - 9 )}

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

e x p an d \frac{2 x + 1}{( - 2 x + 6 ) ( 3 x + 8 )}