Question

((x+3)/(x-5))+(5/(x-3))
Simplify

I've done this twice and got it wrong both times I have two more problems similar to this and don't want to continue until I understand how to do it.

Answer 1

Just like in numerical fractions, you will need a common denominator , which would be (x-5)(x-3)
so we get
( (x+3)(x-3) + 5(x-5) )/((x-5)(x-3))
= (x^2 - 9 + 5x - 25)/(x^2 -8x + 15)
= (x^2 + 5x - 34)/(x^2 - 8x + 15)

Answer 2

Thanks that was a great help.