Factorise:
$2 (x + y)^{2} - 9 (x + y) - 5$

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Solution

$2 (x + y)^{2} - 9 (x + y) - 5 \Rightarrow 2 (x + y)^{2} - 10 (x + y) + 1 (x + y) - 5 \Rightarrow 2 (x + y) (x + y - 5) + 1 (x + y - 5) \Rightarrow (x + y - 5) [2 (x + y) + 1] \Rightarrow (x + y - 5) (2 x + 2 y + 1)$

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