If a, B and C are all positive numbers, then (a + b) (B + C) (c + a) > = 8abc

If a, B and C are all positive numbers, then (a + b) (B + C) (c + a) > = 8abc

A, B and C are all positive numbers
a+b≥2√ab
b+c≥2√bc
c+a ≥ 2√ca
(a+b)(b+c)(c+a)≥2√ab*2√bc*2√ca=8abc
(a+b)(b+c)(c+a)≥8abc