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.

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