Let $a, b, c$ are positive real numbers, such that $a+b+c=1$. Then prove that $\frac{a-bc}{a+bc} +\frac {b-ca}{b+ca} +\frac {c-ab}{c+ab} \leq \frac32$

score 35 · Answer 15 · 2026-04-10 22:23:33

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First order logic formalization problem

Published on 10 Apr 2026 - 22:23

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Let $a, b, c$ are positive real numbers, such that $a+b+c=1$. Then prove that $\frac{a-bc}{a+bc} +\frac {b-ca}{b+ca} +\frac {c-ab}{c+ab} \leq \frac32$

First order logic formalization problem

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