Multiplication of algebraic fraction not giving desired result

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I am having a try at solving this:

(1+(2x/y)+(x^2/y^2))*(y^3)/(x^3+3x^2y+3xy^2+y^3)

that supposed to return:

y/x+y

but I get stuck at:

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which can be written as

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Hint:$$x^3+3x^2y+3xy^2+y^3=(x+y)^3$$