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Factorisation by Regrouping Terms

Factorise: ab...

Question

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

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Solution

$a b x^{2} + a^{2} x + b^{2} x + a b$

$= a x (b x + a) + b (b x + a)$

$= (b x + a) (a x + b)$

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