Question

Prove that , if x, y and z are non zero real numbers :

\((x^3 + y^3 + z^3)^2 \ge \cfrac{9}{8} (x^2 + yz)(y^2 + zx) ( z^2 + xy) \)

Answer 1

use am gm

Answer 2

I tried to use, AM - GM inequality : but no result which looked effective.

Answer 3

Lemme post the work here...