Hard problem

From: Peper <peper@xxxxxxxx>
Date: Thu, 01 Dec 2005 19:28:05 +0100

three _positive_ real numbers a,b,c with
ab + bc + ca = 3

prove that:
a^3 + b^3 + c^3 + 6abc >= 9

Any hints how to do that?

Please reply in english. Thanks in advance!

--
Best Regards,
Peper

.

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