Factorize:

Question:

Factorize:

$4 x^{2}-9 y^{2}-2 x-3 y$

 

Solution:

$4 x^{2}-9 y^{2}-2 x-3 y=\left(4 x^{2}-9 y^{2}\right)-(2 x+3 y)$

$=\left[(2 x)^{2}-(3 y)^{2}\right]-(2 x+3 y)$

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

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

 

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