Question

What is the difference?

StartFraction x Over x squared minus 2 x minus 15 EndFraction minus StartFraction 4 Over x squared + 2 x minus 35 EndFraction

Answer 1

D

Explanation:

just so you dont have to read all that

Answer 2

`(x^2+3x-12)/((x+3)(x-5)(x+7))`

Explanation:

Factor the denominators, then use a common denominator to add the terms.

`(x)/(x^2-2x-15) -(4)/(x^2+2x-35) =(x(x+7))/((x+3)(x-5)(x+7))-(4(x+3))/((x+3)(x-5)(x+7))\\\\=(x^2+7x-4x-12)/((x+3)(x-5)(x+7))=\boxed{(x^2+3x-12)/((x+3)(x-5)(x+7))}`