Question

factorie 4(x-y) square - 12(x-y)+9

Answer 1

here is your answer

Answer 2

4(x - y)² - 12(x - y) + 9

Define k:

Let (x - y) be k

Sub k for (x - y):

4(x - y)² - 12(x - y) + 9

⇒4k² - 12k + 9

Factorise 4k² - 12k + 9

4k² - 12k + 9

= (2k - 3)²

Sub back (x - y) for k:

(2k - 3)²

= [ 2(x - y) - 3 ]²

= [ 2x - 2y - 3 ]²

Answer: 4(x - y)² - 12(x - y) + 9 = (2x - 2y - 3)²