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$$\prod \left( \dfrac{a}{b}+2 \right) +\dfrac{117 \sum ab}{ 4 \sum a^2} \geq \frac{107}{2}$$

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Kamii0909

Kamii0909

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Cho các số thực dương $a,b,c$. Cmr
$$ ( \dfrac{a}{b}+2)( \dfrac{b}{c} +2)( \dfrac{c}{a}+2 ) + \dfrac{117(ab+bc+ca)}{4(a^2+b^2+c^2)} \geq \frac{107}{2}$$




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