What is expand-(z(1+x))/((z+xy)^2) ?

The solution to expand-(z(1+x))/((z+xy)^2) is -(z+zx)/(z^2+2zxy+x^2y^2)

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expand-(z(1+x))/((z+xy)^2)

expand

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

- \frac{z + z x}{z ^{2} + 2 z x y + x ^{2} y ^{2}}

Solution steps

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

(z + x y)^{2} = z^{2} + 2 z x y + x^{2} y^{2}

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

Expand

z (1 + x) : z + z x

= - \frac{z + z x}{z ^{2} + 2 z x y + x ^{2} y ^{2}}

(2 t + 2) (t - 32)

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

\frac{12}{x ( x ^{2} + 6 )}

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

\frac{k ( - 144 + 16 x ^{2} + 9 y ^{2} ) ^{2}}{20736}

What is expand-(z(1+x))/((z+xy)^2) ?
The solution to expand-(z(1+x))/((z+xy)^2) is -(z+zx)/(z^2+2zxy+x^2y^2)