Factorise:
$a - b - a^{2} + b^{2}$

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Solution

$= a - b - a^{2} + b^{2} = a - b - (a^{2} - b^{2}) = (a - b) - (a - b) (a + b) = (a - b) [1 - (a + b)] = (a - b) (1 - a - b)$

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