# 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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