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

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Solution

$x^{2} - 3 b x - a x + 3 a b$

$= x (x - 3 b) - a (x - 3 b)$

$= (x - a) (x - 3 b)$

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

Hence factorized.

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