The Zero Constraint
Algebra
Level
2
\[\large \dfrac1{a^2 + b^2 - c^2} + \dfrac1{a^2 - b^2 + c^2} + \dfrac1{b^2-a^2+c^2} \]
If \(a,b\) and \(c\) are non-zero such that \(a+b+c=0 \), find the value of the expression above.
by
Viki Zeta