1. The problem statement, all variables and given/known data I need to prove the following equation is true, given that a + b + c = 0: a^2/(a^2 - b^2 - c^2) + b^2/(b^2 - a^2 - c^2) + c^2/(c^2 - a^2 - b^2) = 3/2 2. Relevant equations a + b + c = 0 3. The attempt at a solution I wasn't sure what to do at first, so I tried cross multiplying the equation and combining like terms. I came up with: -a^6 - b^6 - c^6 + a^4b^2 + a^4c^2 + b^4a^2 + b^4c^2 + c^4a^2 + c^4b^2 + 6a^2b^2c^2 = 0 It looks like this should factor out nicely, but I can't seem to figure out how. Can anybody help me out? Edit: Finally got it solved. This was way easier than I tried to make it.