Posted by **ABCD** on Wednesday, May 29, 2013 at 4:25am.

Let x,y,z be non-negative real numbers satisfying the condition x+y+z=1. The maximum possible value of

x^3y^3+y^3z^3+z^3x^3

has the form ab where a and b are positive, coprime integers. What is the value of a+b?

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