Polynomials with difficulty......

Algebra Level 2

If a+b+c=0a+b+c=0 and abc0 abc \neq 0 , find the value of a4+b4+c4a2b2+b2c2+c2a2\frac{ { a }^{ 4 }+{ b }^{ 4 }+{ c }^{ 4 } }{ { a }^{ 2 }{ b }^{ 2 }+ b^2c^2+c^2a^2 }

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