Factorize: $x^{3} + 6 x^{2} y + 9 x y^{2}$ .

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Solution

Now,
$x^{3} + 6 x^{2} y + 9 x y^{2}$
$= x (x^{2} + 6 x y + 9 y^{2})$
$= x (x + 3 y)^{2}$ .

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