Factorize: $6 x y - 4 y + 6 - 9 x$

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Solution

Given polynomial is $6 x y - 4 y + 6 - 9 x$
It can be factorised as
$6 x y - 4 y + 6 - 9 x = 2 y (3 x - 2) - 3 (3 x - 2)$
$= (3 x - 2) (2 y - 3)$
Thus factors are $(3 x - 2), (2 y - 3)$ .

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