Maximum Sum of Cubic Products

Algebra Level 5

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

x3y3+y3z3+z3x3 x^3y^3 + y^3z^3 + z^3x^3

has the form ab, \frac {a} {b} , where aa and bb are positive, coprime integers. What is the value of a+ba+b?

×

Problem Loading...

Note Loading...

Set Loading...