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Difference between revisions of "AoPS Wiki:Users"

(USAMO 1997 - Problem 5)
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Revision as of 22:49, 16 June 2010

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

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