1.

Factorize each of the following expressions:(x + 2y)2 - 4(2x - y)2

Answer»

(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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