已知a,b,c∈R+,求证:(a^2+1)(b^2+1)(c^2+1)≥8abc
问题描述:
已知a,b,c∈R+,求证:(a^2+1)(b^2+1)(c^2+1)≥8abc
答
a^2+1≥2a
b^2+1≥2b
c^2+1≥2c
已知a,b,c∈R+
(a^2+1)(b^2+1)(c^2+1)≥8abc