Question
Factorize of the following expressions: $6xy + 6 - 9y - 4x$

Answer

$6xy + 6 - 9y - 4x$
$= 2x(3y - 2) + 3(2 - 3y)$
$= 2x(3y - 2) - 3(3y - 2) [$since, $(2 - 3y) = -(3y - 2)]$
$= 2x(3y - 3)(3y - 2)$
$[$taking $(3y - 2)$ as the common factor$]$

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