Power of 1

Algebra Level 3

Find the infimum value of

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

If \(abc = 1\) and \(a\), \(b\) and \(c\) are positive real numbers.

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