Re: Hard problem

Peper wrote: 
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?


Yes. By yourself.

It's just been pointed out on sci.math that this
appears to be a question from this year's
Polish maths olympiad, which makes asking for
help on the internet sound remarkably like
cheating.
.

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