Question:
Factorize each of the following expression:
4(xy + 1)2 − 9(x − 1)2
Solution:
$4(x y+1)^{2}-9(x-1)^{2}$
$=[2(x y+1)]^{2}-[3(x-1)]^{2}$
$=[2(x y+1)-3(x-1)][2(x y+1)+3(x-1)]$
$=(2 x y+2-3 x+3)(2 x y+2+3 x-3)$
$=(2 x y-3 x+5)(2 x y+3 x-1)$
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