Prove that for any three distinct positive real numbers a, b and c:

((a^2 - b^2)^3 + (b^2 - c^2)^3 + (c^2 - a^2)^3

----------------------------------------------------------- > 8abc

(a-b)^3 + (b-c)^3 + (c-a)^3

(where dotted line shows it is a fraction)

I have no idea what to do here, help!!