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$\sum \frac{a^3}{(b+c)^3}+\frac{8\prod (a+b)^3}{(ac-bc)^2(a+b+c)^5}\geq 4$

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longatk08

longatk08

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Cho $a,b,c$ không âm sao cho $c(a-b) \neq 0$.Chứng minh rằng:

 

$$\sum \frac{a^3}{(b+c)^3}+\frac{8(a+b)^3(b+c)^3(c+a)^3}{(ac-bc)^2(a+b+c)^5}\geq 4$$






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