2.

 

This is an addition of rational expressions, so we need common denominators. First factor both denominators.

 

 

At this point we see that the second fraction reduces. If we simplify, we will make our lives easier.

 

 

All we need to do at this point to get common denominators is to multiply the top and bottom of the second fraction by x-3.

 

 

Now that we have common denominators, we can subtract the numerators.

 

 

Combine like terms.

 

 

Both the top and bottom are completely factored, and nothing cancels, so this is the final answer.