Factorise
$x^{5} + x^{2}$

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Solution

$x^{5} + x^{2} = x^{2} (x^{3} + 1) = x^{2} (x + 1) (x^{2} - x \times 1 + 1^{2}) = x^{2} (x + 1) (x^{2} - x + 1)$

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