Factorise : x^2 - (a - 3)x - 3a - Vidyadip

Question

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

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Answer

$x^2 - (a - 3)x - 3a$
$= x^2 - ax + 3x - 3a$
$= x (x - a) + 3 (x - a)$
$= (x - a) (x + 3)$

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