Question

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

Answer 1

Hi there.

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

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)

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