# How do you combine #(x+5)/(x^2-4x+3) - (10-2x)/(x^2-5x+6)#?

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To combine the given expressions, we need to find a common denominator. The denominators are (x^2-4x+3) and (x^2-5x+6). The common denominator is (x^2-4x+3)(x^2-5x+6).

Next, we multiply the first fraction by (x^2-5x+6)/(x^2-5x+6) and the second fraction by (x^2-4x+3)/(x^2-4x+3) to obtain a common denominator.

After multiplying, we can combine the numerators and simplify the expression. The final result is:

[(x+5)(x^2-5x+6) - (10-2x)(x^2-4x+3)] / [(x^2-4x+3)(x^2-5x+6)]

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