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If a+b+c=0a+b+c=0a+b+c=0 then find the value of
a4+b4+c4a2b2+b2c2+c2a2\frac { { a }^{ 4 }+{ b }^{ 4 }+{ c }^{ 4 } }{ { a }^{ 2 }{ b }^{ 2 }+{ b }^{ 2 }{ c }^{ 2 }+{ c }^{ 2 }{ a }^{ 2 } } a2b2+b2c2+c2a2a4+b4+c4
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