a's, b's and c's

Algebra Level 3

If a+b+c=0a+b+c = 0 and abc0 abc \neq 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 } } .

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