FKMO 2016 Problem 4

If $x,y,z$ satisfies $x^2+y^2+z^2=1$ , find the maximum possible value of $(x^2-yz)(y^2-zx)(z^2-xy)$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.