Add Simplify if possible

Question

9x/x^2-4 + x/x-2

Answer 1

I am sure you meant

9x/(x^2 - 4) + x/(x-2)

= 9x/((x+2)(x-2)) + x/(x-2) , LCD = (x+2)(x-2)
= 9x/((x-2)(x+2)) + x(x+2)/((x+2)(x-2))
= (9x + x^2 + 2x)/(x^2 - 4)