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Factorisation by Regrouping Terms

Factorise : x...

Question

Factorise : $x^{2} - (a - 3) x - 3 a$

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Solution

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

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