Find-the-minimum-value-of-Q-that-satisfy-xy-x-2-y-2-yz-y-2-z-2-zx-z-2-x-2-Q-x-2-y-2-z-2-2-

Question Number 21654 by Joel577 last updated on 30/Sep/17

Find the minimum value of Q that satisfy :

∣ x y (x^{2} - y^{2}) + y z (y^{2} - z^{2}) + z x (z^{2} - x^{2}) ∣ ⩽ Q {(x^{2} + y^{2} + z^{2})}^{2}