Question

4(x_y)2_12(x_y)+9 factoise the following

Answer 1

Take (x-y) as a
4a^2-12a+9
4a^2-6a-6a+9
2a (2a-3)-3 (2a-3)
(2a-3)(2a-3)
(2x-2y-3)(2x-2y-3)

Answer 2

$4(x - y)^{2} - 12(x - y) + 9 \\Let (x-y) =a \\ 4a ^{2} - 12a + 9 \\ 4 {a}^{2} - 6a - 6a + 9 \\ 2a(2a - 3) - 3(2a - 3) \\ (2a - 3)(2a - 3) \\ now \: put \: a = (x - y) \\ [2(x-y)-3][2(x-y)-3] \\ (2x-2y-3)(2x-2y-3)$