Factorize each of the following algebraic expressions: 4(xy + 1)2 – InterviewSolution

1.

Factorize each of the following algebraic expressions: 4(xy + 1)2 – 9(x – 1)2

Answer»

As given,

4(xy + 1)² – 9(x – 1)²

= [2x (xy + 1)]² – [3 (x – 1)]²

= (2xy + 2 + 3x – 3) (2xy + 2 – 3x + 3)

= (2xy + 3x – 1) (2xy – 3x + 5)

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