Factorise : - x^2y - x + 3xy + 3 - Vidyadip

Question

Factorise : $- x^2y - x + 3xy + 3$

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Answer

$- x^2y - x + 3xy + 3$
$= 3 - x + 3xy - x^2y$
$= 1(3 - x) + xy (3 - x)$
$= (3 - x) (1 + xy)$
$= (xy + 1) (3 - x)$

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