Factorise: $2 x^{2} + 16 x + 32$ .

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Solution

$2 x^{2} + 16 x + 32$
$= 2 (x^{2} + 8 x + 16)$
$= 2 (x^{2} + 4 x + 4 x + 16)$
$= 2 [x (x + 4) + 4 (x + 4)]$
$= 2 (x + 4) (x + 4)$
$= 2 (x + 4)^{2}$

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