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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