# An algebra problem by Sai Venkatesh

Algebra Level 2

Given that $$a,b$$ and $$c$$ are real numbers such that $$a+b+c=0$$, compute $\frac { 1 }{ { b }^{ 2 }+{ c }^{ 2 }-{ a }^{ 2 } } +\frac { 1 }{ { c }^{ 2 }+{ a }^{ 2 }-{ b }^{ 2 } } +\frac { 1 }{ { a }^{ 2 }+{ b }^{ 2 }-{ c }^{ 2 } }.$

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