Factorize the following expressions: (x + 2y)2 – 4 (2x – y)2 – InterviewSolution

1.

Factorize the following expressions: (x + 2y)2 – 4 (2x – y)2

Answer»

We have,

(x + 2y)² – 4 (2x – y)²

= (x + 2y)² – [2 (2x – y)]²

= [(x + 2y) + 2 (2x – y)] [x + 2y – 2 (2x – y)]

= (x + 4x + 2y – 2y) (x – 4x + 2y + 2y)

= (5x) (4y – 3x)

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