Question
Factorize of the following expressions:$ 4(x y-1)^2-9(x-1)^2 $
✓
Answer
$ 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) $
$ =[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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