I've been stuck on this question for about a half hour. I really don't think the answer I'm getting is correct.

$\displaystyle \frac {(x-y)^2}{x^3-y^3} + \frac {2}{x^2+xy+y^2}$

Is the LCD: (x-y)(x^2+xy+y^2)? I feel like I'm getting thrown off because I'm so use to factoring trinomials when finding the LCD.

The answer I got was and it just doesn't look right:

$\displaystyle \frac {x^2-2xy+y^2+2x-2y}{(x-y)(x^2+xy+y^2)}$