Answer: A is correct (x+2)/(x-1)
Explanation:
Divide the top and bottom by 2, to simplify
[2(x^2+x-2)]/[2(x^2+2x+1)]
The 2's cancel each other out, since 2/2 would be 1.
Now factor (x^2+x-2)/(x^2+2x+1)
[(x+2)(x-1)]/[(x-1)(x-1)]
Now you can cancel out one of the (x-1) on top and bottom. All that's left is (x+2)/(x-1) which is your answer. Hope this helps!