Câu hỏi 68
Cho $a,b,c\gt0$ và $abc=1$. Chứng minh
$$\frac{a^{2014}}{1+2bc}+\frac{b^{2014}}{1+2ca}+\frac{c^{2014}}{1+2ab}\ge\frac3{ab+bc+ca}.$$
$$\frac{a^{2014}}{1+2bc}+\frac{b^{2014}}{1+2ca}+\frac{c^{2014}}{1+2ab}\ge\frac3{ab+bc+ca}.$$
MathNet 2014 Câu hỏi 68
Math Olympiad Vault · MathNet 2014