Question

Factorise:
(x - 2y)2 - 12(x - 2y) + 32

Answer 1

Hi there.

The answer is (x-2y-8)(x-2y-4)

Step-by-step explanation:

`(x - 2y)^(2) - 12(x - 2y) + 32`

Let (x-2y) = x

`{x}^(2) - 12x + 32`

Then factor the quadratic polynomial by 2 brackets factoring.

`(x - 8)(x - 4)`

Then convert x to (x-2y)

`(x - 2y - 8)(x - 2y - 4)`