a3+b3+c3+3×abc>2(a+b)c2A,B,C都大于0且不相等且A+B>C求证!现场等!谢谢! 谢谢哥哥姐姐出手相助!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

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a3+b3+c3+3×abc>2(a+b)c2A,B,C都大于0且不相等且A+B>C求证!现场等!谢谢! 谢谢哥哥姐姐出手相助!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

a3+b3+c3+3×abc>2(a+b)c2A,B,C都大于0且不相等且A+B>C求证!现场等!谢谢! 谢谢哥哥姐姐出手相助!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
a3+b3+c3+3×abc>2(a+b)c2
A,B,C都大于0且不相等且A+B>C
求证!现场等!谢谢! 谢谢哥哥姐姐出手相助!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

a3+b3+c3+3×abc>2(a+b)c2A,B,C都大于0且不相等且A+B>C求证!现场等!谢谢! 谢谢哥哥姐姐出手相助!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
求证?

设a=1 b=2 c=3代入
所以
a3+b3+c3+3×abc=1^3+2^3+3^3+3*1*2*3=54
2(a+b)c2=2*(1+2)*3^2=54
a3+b3+c3+3×abc>2(a+b)c2
不成立
题目出错了