Question

Factorize
(x + 2y)^2 - 4(2x - y)^2.

No Spamming!!

Best answer will be marked as brainliest.

Answer 1

$let \: x + 2y \: be \: xy \\ {(xy)}^{2} - {4(xy)}^{2} \\ {(xy)}^{2} - {(2xy)}^{2} \\ {(xy - 2xy)}^{2} + 2 \times xy \times 2xy \\ {(x + 2y - 2x - 4y)}^{2} + 4 {(x + 2y) }^{2} \\ {( - x - 2y)}^{2} + {4(x + 2y)}^{2} \\ { (- (x + 2y))}^{2} + 4 {(x + 2y)}^{2} \\ {(x + 2y)}^{2} ( - 1 + 4) \\ 3( {x + 2y)}^{2}$