Chứng minh rằng 1/b+c+1/a+c+1/a+b≥3(1/3a+2b+c+1/3b+2c+a+1/3c+2a+b)

Cho a,b,c>0 CMR

\(\frac{1}{b+c}+\frac{1}{a+c}+\frac{1}{a+b} \ge3(\frac{1}{3a+2b+c}+\frac{1}{3b+2c+a}+\frac{1}{3c+2a+b}) \)

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