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

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

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expand ((x-y)^3)/((x+y)^2)

expand

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

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

Solution steps

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

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

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

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

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

2 (x^{3} e^{- 3 x} - 3)

(5 e^{2} - 2 b + c^{3}) (3 x - 2 y - 5 z + 2)

\frac{b}{s ( s + a )}

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

\frac{0.5 s + 1}{s ( s ^{2} + 6 s + 750 )}

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