Art of Problem Solving
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1997 USAMO Problems/Problem 5: Difference between revisions

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Created page with "== 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 =="
 
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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 19:10, 1 July 2011