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$If\quad x+y+z=0\quad then\quad what\quad is\quad the\quad value\quad of\\ \frac { 1 }{ { x }^{ 2 }+{ y }^{ 2 }-{ z }^{ 2 } } +\frac { 1 }{ { y }^{ 2 }+{ z }^{ 2 }-{ x }^{ 2 } } +\frac { 1 }{ { z }^{ 2 }+{ x }^{ 2 }-{ y }^{ 2 } } ?$

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