Classical

Algebra Level 3

\[\large \dfrac{1}{a^3(b+c)}+\dfrac{1}{b^3(a+c)}+\dfrac{1}{c^3(a+b)}\]

Let \(a\), \(b\), and \(c\) be positive real numbers such that \(abc=1\), then find the minimum value of the expression above.

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