Factorise:

$a^{2} - b^{2} - (a + b)^{2}$

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Solution

$a^{2} - b^{2} - (a + b)^{2} \Rightarrow a^{2} - b^{2} - a^{2} - b^{2} - 2 a b \Rightarrow - 2 b^{2} - 2 a b \Rightarrow - 2 b (b + a)$

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