What is the answer to the problem 4/x-8 + 1/x-4?

Question

I'm having a really hard time and needs some help.

Answer 1

im assuming that the x-8 is the denominator for the 4, and that x-4 is the denominator for the 1.

 

forst find a common denominator by multiplying the other denominator

4(x-4) + 1(x-8) /(x-4)(x-8)

then expand.  F.O.I.L the bottom

4x-16 + x - 8x / x^2 -4x -8x +32

collect like terms

5x -24 / x^2 -12x +32