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1964 IMO Problems/Problem 2

Revision as of 10:37, 16 July 2009 by Xpmath (talk | contribs) (→‎Solution)

Problem

Suppose $a, b, c$ are the sides of a triangle. Prove that

\[a^2(b+c-a)+b^2(c+a-b)+c^2(a+b-c)\le{3abc}.\]

Solution

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