1997 USAMO Problems/Problem 5: Difference between revisions
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== Problem == | |||
Prove that, for all positive real numbers <math>a, b, c,</math> | |||
<math>(a^3+b^3+abc)^{-1}+(b^3+c^3+abc)^{-1}+(a^3+c^3+abc)^{-1}\le(abc)^{-1}</math>. | |||
== Solution == | |||
Revision as of 13:09, 5 July 2011
Problem
Prove that, for all positive real numbers 
.
