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

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Solution

$a b^{2} - a b - a^{2} b + a^{2} \Rightarrow a b (b - 1) - a^{2} (b - 1) \Rightarrow (a b - a^{2}) (b - 1) = a (b - a) (b - 1)$

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