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