Polynomials with difficulty......

Algebra Level 2

If \(a+b+c=0\) and \( abc \neq 0 \), find the value of \(\frac{ { a }^{ 4 }+{ b }^{ 4 }+{ c }^{ 4 } }{ { a }^{ 2 }{ b }^{ 2 }+ b^2c^2+c^2a^2 }\)

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