Did I make an error? I assumed i would be able to factor the answer and cancel numerator to denominator
1/(x+2) + 1/(x^2-4) - 2/(x^2 - x -2)
(x-2)(x+1) / (x+2)(x-2)(x+1) + (x+1) / (x+2)(x-2)(x+1) - 2x+4 / (x+2)(x-2)(x+1)
(x^2 - x - 2) / (x+2)(x-2)(x+1) +(x+1) / (x+2)(x-2)(x+1) - 2x+4 / (x+2)(x-2)(x+1)
then
(x^2 - 2x - 5) / (x+2)(x-2)(x+1)
1/(x+2) + 1/(x^2-4) - 2/(x^2 - x -2)
(x-2)(x+1) / (x+2)(x-2)(x+1) + (x+1) / (x+2)(x-2)(x+1) - 2x+4 / (x+2)(x-2)(x+1)
(x^2 - x - 2) / (x+2)(x-2)(x+1) +(x+1) / (x+2)(x-2)(x+1) - 2x+4 / (x+2)(x-2)(x+1)
then
(x^2 - 2x - 5) / (x+2)(x-2)(x+1)