Step 1 :The expression is undefined when the denominator equals zero. So, we need to find the values of $x$ that make $x^{2}-1=0$. This is a quadratic equation, and we can solve it by factoring or using the quadratic formula.
Step 2 :The solutions to the equation $x^{2}-1=0$ are $x=-1$ and $x=1$. These are the values of $x$ that make the denominator zero and thus make the expression undefined.
Step 3 :The excluded values for the expression are $x=-1$ and $x=1$. So, $x=\boxed{-1, 1}$.