Question

factories: 4(x-y)² - 12(x-y) + 9​

Answer 1

Answer:

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Step-by-step explanation:

4 (x - y) ^2 - 12 (x - y) + 9 = [2*(x - y)]^2 - 2*2*3 (x - y) + 3^2

Notice: it has the form [(a^2–2*a*b+b^2 = (a-b)^2] where a = 2*(x - y) and b = 3.

4 (x - y) ^2 - 12 (x - y) + 9 = (2*(x-y) -3)^2 ( Don’t leave this way. Strictly speaking, factorization means to have factors not power)

Therefore, 4 (x - y) ^2 - 12 (x - y) + 9 = (2*(x-y) -3)(2*(x-y) -3).