Very close. All you need to do is observe that .
Even if you are not good at factoring in general, you should recognize that , which you apparently did to get the "least common denominator" and then check for common factors in the numerator and denominator. And you can do that by evaluating so x- 0= x is not a factor. so x+ 2 is not a factor. But so x- 2 is a factor of .