Question

Factorise 2(x-2y)^2 - 3(x-2y)

Answer 1

Step-by-step explanation:

$2 {(x - 2y)}^{2} - 3(x - 2y) \\ = (x - 2y)(2x - 4y - 3) \\ = 2 {x}^{2} - 4xy - 3x - 4xy + 8 {y}^{2} + 6 \\ = 2 {x}^{2} + 8 {y}^{2} - 8xy - 3x + 6$