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Algebra Level 5

(a+b+c+1)2(a2+1)(b2+1)(c2+1)\large \dfrac{(a+b+c+1)^2}{(a^2+1)(b^2+1)(c^2+1)}

Let a,b,c>0a, b, c>0. Find the maximum value of the expression above.

Khang Nguyen Thanh by Khang Nguyen Thanh
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