Cho các số dương $a;b;c$ và $x;y;z$ là một hoán vị của $a;b;c$. Chứng minh rằng:$$\frac{x^3}{a(b^2+c^2)}+\frac{y^3}{b(c^2+a^2)}\frac{z^3}{c(a^2+b^2)}\geq \frac{3}{2}$$
$$\textup{Every morning, chamois woke up, he knew that he had to run faster than the fastest lion running, otherwise he would eat meat. Every morning, the Lion woke up, he also knew that he had to run faster than chamois running slowly, otherwise he would starve to death.}$$$$\textup{At twenty, I admitted only myself as having talent. At thirty, I said: "Myself and Mozart." At forty, I said: "Mozart and myself." And now I say: "Only Mozart."----C.Gounod}$$$$\textup{I represent order, you represent beauty. Maybe the posterity will forget me and remind you}$$
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