Question

Chao a, b, c >0

CMR \(\left(a^3+b^3+c^3\right)\left(\dfrac{1}{a^3}+\dfrac{1}{b^3}+\dfrac{1}{c^3}\right)\ge\dfrac{3}{2}\left(\dfrac{b+c}{a}+\dfrac{c+a}{b}+\dfrac{a+b}{c}\right)\)