\(abc\) is the one

Algebra Level 3

\[ \large { a }^{ 3 }({ b }^{ 2 }+c)+b^{ 3 }({ c }^{ 2 }+a)+{ c }^{ 3 }({ a }^{ 2 }+b) \]

If \(a,b\) and \(c\) are positive real numbers satisfying \(abc=1\), find the minimum value of the expression above.

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