Question

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Answer 1

`(-5x^2+34x-32)/(x^2-10x+24)`

Explanation:

Write each fraction using a common denominator, then combine numerators and collect terms. "Simplify" usually means "eliminate parentheses."

`(8)/(x-4)-(4)/(x-6)-(5x)/(x-4)=(8(x-6))/((x-4)(x-6))-(4(x-4))/((x-4)(x-6))-(5x(x-6))/((x-4)(x-6)\\\\=(8(x-6)-4(x-4)-5x(x-6))/((x-4)(x-6))=(8x-48-4x+16-5x^2+30x)/((x-4)(x-6))\\\\=\boxed{(-5x^2+34x-32)/(x^2-10x+24)}`