Cho các số dương $ a, b, c$ sao cho $ a^{2}+ b^{2}+ c^{2}= 3$. CMR:
$\frac{a^{2009}- 2008\left ( a- 1 \right )}{b+ c}+ \frac{b^{2009}- 2008\left ( b- 1 \right )}{c+ a}+ \frac{c^{2009}- 2008\left ( c- 1 \right )}{a+ b}\geq \frac{a+ b+ c}{2}$
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Posted 13-01-2018 - 17:27
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