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Question

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

Solution
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$$ x^2+xy(1+y)+y^3 $$
above question can be written as,
$$ x^2+xy+xy^2+y^3 $$
Take out common in all terms,
$$a(x+y)+y^2(x+y) $$
$$(x+y)(x+y^2) $$

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