Factoise $8 x^{3} + 36 x^{2} y + 54 x y^{2} + 27 y^{3} .$

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Solution

$8 x^{3} + 36 x^{2} y + 54 x y^{2} + 27 y^{3}$
$= (2 x)^{3} + 3. (2 x)^{2} .3 y + 3.2 x . (3 y)^{2} + (3 y)^{3}$
$= (2 x + 3 y)^{3}$

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8 x^{3} + 36 x^{2} y + 54 x y^{2} + 27 y^{3}

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