Factorize each of the following expressions:
(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)
8
Factorize each of the following expressions:
(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)