1. The problem statement, all variables and given/known data If a + b + c = 0, then show that 6(a^5 + b^5 + c^5) = 5(a^3 + b^3 + c^3)(a^2 + b^2 + c^2) 2. Relevant equations - 3. The attempt at a solution Since a+b+c=0 then a^3 + b^3 + c^3=3abc . But then what? I've no idea , Please help.