Question:
Factorize each of the following expressions:
6xy + 6 − 9y − 4x
Solution:
$6 x y+6-9 y-4 x=(6 x y-4 x)+(6-9 y) \quad$ [Regrouping the expressions]
$=2 x(3 y-2)+3(2-3 y)$
$=2 x(3 y-2)-3(3 y-2)$ $[\because(2-3 y)=-(3 y-2)]$
$=(2 x-3)(3 y-2)$ $[$ Taking $(3 y-2)$ as the common factor $]$
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