Cho a,b,c > 0 t/m c^2 = a^3 + b^3 = 3ab + c

Cho a,b,c > 0 t/m c^2 = a^3 + b^3 = 3ab + c.
CMR : 2.a^2b^2 + 2.b^2c^2 + 2.c^2a^2 = a^4+b^4+c^4
help!!!