Question
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 a/b where a and b are positive, coprime integers. What is the value of a+b?
x^3y^3+y^3z^3+z^3x^3
has the form a/b where a and b are positive, coprime integers. What is the value of a+b?