Question

How do you simplify `(5)/(x-3) + (x)/(x^2-9)`?

Answer 1

`(6x+15)/(x^2-9)`

Explanation:

`(x^2-9)=(x+3)(x-3)` and `5/(x-3)=5(x+3)/((x-3)(x+3)) =(5x+15)/(x^2-9)`
so `5/(x-3)+x/(x^2-9) = (5x+15)/(x^2-9)+x/(x^2-9) = (6x+15)/(x^2-9)`