What is expand (x(-2ln(xy)+1))/(y^3) ?

The solution to expand (x(-2ln(xy)+1))/(y^3) is -(2xln(xy))/(y^3)+x/(y^3)

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expand (x(-2ln(xy)+1))/(y^3)

expand

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

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

Solution steps

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

Expand

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

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

Apply the fraction rule:

\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}}

\frac{2 ( n + 1 ) ( 2 n + 1 )}{n ^{2}}

(3 x + 2 y = 9.5) (x + y)

2 (x (x - 1))

(x - i)^{2} (x - 1 + i)^{2}

What is expand (x(-2ln(xy)+1))/(y^3) ?
The solution to expand (x(-2ln(xy)+1))/(y^3) is -(2xln(xy))/(y^3)+x/(y^3)