# How do you simplify #(4-2(x-1))/(x^2-6x+9)#?

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To simplify the expression (4-2(x-1))/(x^2-6x+9), we can start by simplifying the numerator and the denominator separately.

First, let's simplify the numerator: 4 - 2(x-1) = 4 - 2x + 2 = 6 - 2x

Next, let's simplify the denominator: x^2 - 6x + 9 is a perfect square trinomial, which can be factored as (x-3)^2.

Now, we can rewrite the expression as: (6 - 2x)/(x-3)^2

And that is the simplified form of the expression (4-2(x-1))/(x^2-6x+9).

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