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(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)}(a2+1)(b2+1)(c2+1)(a+b+c+1)2
Let a,b,c>0a, b, c>0a,b,c>0. Find the maximum value of the expression above.
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