Factorise:
$a^{3} + a b (1 - 2 a) - 2 b^{2}$

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Solution

$a^{3} + a b (1 - 2 a) - 2 b^{2}$

$\Rightarrow$ $a^{3} + a b - 2 a^{2} b - 2 b^{2}$

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

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

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(5 a - 2 b)^{2} - (2 a - b)^{2}

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Factorise:

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