AoPS Wiki:Users

Revision as of 22:49, 16 June 2010 by Theswan (talk | contribs) (USAMO 1997 - Problem 5)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Let $a, b, c$ be positive real numbers. Show that $\frac{1}{a^3 + b^3 + abc} + \frac{1}{b^3 + c^3 + abc} + \frac{1}{c^3 + a^3 + abc} \leq \frac{1}{abc}.$