Hi there.
The answer is (x-2y-8)(x-2y-4)
Explanation:
[tex](x - 2y)^{2} - 12(x - 2y) + 32[/tex]
Let (x-2y) = x
[tex] {x}^{2} - 12x + 32[/tex]
Then factor the quadratic polynomial by 2 brackets factoring.
[tex](x - 8)(x - 4)[/tex]
Then convert x to (x-2y)
[tex](x - 2y - 8)(x - 2y - 4)[/tex]
