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

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

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expand (xy)/((x+y)^2(x+y+1))

expand

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

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

Solution steps

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

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

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

Expand

(x^{2} + 2 x y + y^{2}) (x + y + 1) : x^{3} + 3 x^{2} y + x^{2} + 3 x y^{2} + 2 x y + y^{3} + y^{2}

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

a r gu m e n t o (1 + i)

\frac{x + 9}{x ^{2} ( x - 1 )}

5 - c

2 x^{3} (4 ln (x) + 1)

\frac{d}{d t} ((x) (4 t - x))

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