add 1/(x+2)+2/(x-1)

Question

1/(x+2)+2/(x-2)

Answer 1

Thank you for providing the proper parentheses to make the denominators very clear.

 

You must adopt this COMMON DENOMINATOR: (x+2)(x-1).

 

The given expression will then have this numerator 1(x-1) + 2(x+2) which becomes 3x + 3.

 

Final answer can be [3(x+1)] / [(x+2)(x-1)]