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Posted by phamduytien on 11-08-2013 - 14:31
Cho a, b, c > 0; $abc = 1$
Chứng minh: $\frac{a^{4}b}{a^{2}+1}+\frac{b^{4}c}{b^{2}+1}+\frac{c^{4}a}{c^{2}+1}\geq \frac{3}{2}$
Posted by phamduytien on 25-07-2013 - 18:44
Cho a,b,c>0. CMR:
$\sum \frac{1}{a+b}+\frac{1}{2\sqrt[3]{abc}}\geq \frac{(a+b+c+\sqrt[3]{abc})^{2}}{(a+b)(b+c)(a+c)}$