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Factorisation by Regrouping Terms

Factorize: a...

Question

Factorize:
$a b^{2} - 2 a - a^{2} b - 3 a^{2} + 2 b + 3 a b$ .

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Solution

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

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