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Is it just AM-GM?

Algebra Level 4

Given that \[\dfrac{x}{1+x}+\dfrac{y}{1+y}+\dfrac{z}{1+z}=2,\] where \(x,y,z\) are non-negative real numbers, what is the minimal value of \(xyz\)?

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Excel in math and science

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by Reynan Henry

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