smc

Factor the difference of squares. $$\frac{(x+2)(x-2)}{(x+1)(x-1)}>0$$ Note that the graph intersects the x-axis at when $x=\pm 2$ or $x\pm 1$, so check the sign of the result to see if it is positive. After testing, $x<-2$ or $-1<x<1$ or $x>2$, so the answer is $\boxed{x>2\text{ or }x<-2\text{ or}-1<x<1}$.