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

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

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

expand

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

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

Solution steps

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

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

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

Expand

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

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

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

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

\frac{d}{d t} ((x) (5 t^{2} + 3 t - 7))

\frac{( - a + b ) ^{2}}{a + b}

\frac{( 3 x ^{2} - 2 ) ^{5}}{5}

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