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Inequalities, Olympiad, RMO

For positive reals \(x,y,z\) satisfying \(x+y+z=1\), prove that

\[ xy + yz + xz - 2xyz \leq \dfrac7{27}. \]

Note by Abhi Kumbale
10 months ago

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Is this a RMO problem? Which year? Shashank Rammoorthy · 10 months ago

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@Shashank Rammoorthy INMO 1984 Abhi Kumbale · 10 months ago

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