Question 22
Find the greatest value of the expression
$$
|(x-y)(y-z)(z-x)|
$$
for all real numbers $x$, $y$, $z$ satisfying $x + y + z = 0$ and $x^2 + y^2 + z^2 = 6$.
$$
|(x-y)(y-z)(z-x)|
$$
for all real numbers $x$, $y$, $z$ satisfying $x + y + z = 0$ and $x^2 + y^2 + z^2 = 6$.