Answer:
x + 1
Step-by-step explanation:
I'm going to go ahead and assume that you mean [tex]\frac{x^{2} -1}{x-1}[/tex].
Note that [tex]x^{2} -1[/tex] can be factored as [tex](x+1)*(x-1)[/tex]. Therefore you can rewrite the expression as [tex]\frac{(x+1) * (x -1)}{x-1} = x+1[/tex].
Note that the terms (x-1) in the numerator and the denominator cancel.