1. The problem statement, all variables and given/known data 1/(a-b)(a-c) + 1/(c-a)(c-b) + 1/(b-a)(b-c) 2. Relevant equations Is there a way to simplify this? If I start multiplying out everything to get the LCD my final answer will be huge. 3. The attempt at a solution As I said, without somehow simplifying it at the start I can multiply out, get the LCD, and end up with a very long answer. Thanks.