What is expand (x-y)/(x(x+y)^2) ?

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

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expand (x-y)/(x(x+y)^2)

expand

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

\frac{x - y}{x ^{3} + 2 x ^{2} y + x y ^{2}}

Solution steps

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

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

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

Expand

x (x^{2} + 2 x y + y^{2}) : x^{3} + 2 x^{2} y + x y^{2}

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

(π - 2)^{2}

\frac{d}{d x} (I n x + 1) + I n (x + 1)

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

(x + y) d y + (1 - 2 y) d x

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