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Factorisation by Regrouping Terms

Factorise : x...

Question

Factorise :

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

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Solution

$x^{2} - x (a + 2 b) + 2 a b = x^{2} - x a - 2 b x + 2 a b = x (x - a) - 2 b (x - a) = (x - a) (x - 2 b) A n s .$

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