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?
>
> --
> Best Regards,
> Peper

Yes - Use the Rusin method to express it as a sum of squares.

Should be pretty straightforward (chortle).

.



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