展开 (x(-2ln(xy)+1))/(y^3)

解答

展开

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

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

求解步骤

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

乘开

x (- 2 ln (x y) + 1) : - 2 x ln (x y) + x

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

使用分式法则:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

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

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

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

e x p an d (3 x + 2 y = 9.5) (x + y)

e x p an d 2 (x (x - 1))

e x p an d (x - i)^{2} (x - 1 + i)^{2}

e x p an d (x - 2 i) (x + 2 i) (x - 3 - i) (x - 3 + i)