Factorise.(1) $x^{3} + 64 y^{3}$

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Solution

$x^{3} + 64 y^{3} \Rightarrow x^{3} + 4^{3} y^{3} \Rightarrow x^{3} + {(4 y)}^{3}$
Factorise is $(x + 4 y) (x^{2} - x .4 y + {(4 y)}^{2})$
$\Rightarrow (x + 4 y) (x^{2} - 4 x y + {16 y}^{2})$

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