Factories :4(x-y)square-12(x-y)(x-y(+9(x+y)square
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Step-by-step explanation:
Let (x-y) = m, so
4(x-y)^2–12(x-y) + 9 is
4m^2–12m+9 …(1)
Now 4*9 = 36. And -12 = -6–6, so (1) becomes
4m^2–6m-6m+9
= 2m(2m-3) - 3(2m-3)
= (2m-3)(2m-3)
= [2(x-y)-3]^2.
Hence, 4(x-y)^2–12(x-y) + 9 = [2(x-y)-3]^2.
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