展开 (2x-1)/(x(x^2+1)^2)

解答

展开

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

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

求解步骤

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

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

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

乘开

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

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

e x p an d ln (z) (z - 1)^{3}

\frac{d}{d t} ((x) (- x - y (x, t) - t))

e x p an d \frac{2 x - 1}{( a x + b ) ( c x + d ) ^{2}}

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

e x p an d \frac{2 ( x + 9 ) ( x - 1 )}{( x + 4 ) ( x - 2 )}