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$\sum_{cyc}{\frac{(a+b)(b+c)}{b^3+c^3+abc}}+\frac{1}{4}\ge\frac{a^2+b^2+c^2+48abc}{4(ab+bc+ca)}$

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#1
Gachdptrai12

Gachdptrai12

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cho $a, b, c>0, a+b+c=3$. chứng minh


$\sum_{cyc}{\frac{(a+b)(b+c)}{b^3+c^3+abc}}+\frac{1}{4}\ge\frac{a^2+b^2+c^2+48abc}{4(ab+bc+ca)}$






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