(a + b) * (B + C) * (a + C) greater than or equal to 8abc

(a + b) * (B + C) * (a + C) greater than or equal to 8abc

From the mean inequality, we get the
A + b > = 2 radical ab
B + C > = 2 radical BC
A + C > = 2 radical AC
(a + b) * (B + C) * (a + C) > = 2 radical AB * 2 radical BC * 2 radical AC = 8 radical abbcac = 8abc
That is (a + b) * (B + C) * (a + C) is greater than or equal to 8abc