[จูกัดเหลียง]

Let $a,b,c>0$ Prove that $$\frac{a^3+b^3}{2c}+\frac{b^3+c^3}{2a}+\frac{c^3+a^3}{2b}\ge (a-b)^2+(b-c)^2+(c-a)^2+(a^2+b^2+c^2)$$