Question 70
If $a, b, c$ are positive real numbers such that $a b c = 1$, prove that
$$
a^{b+c} b^{c+a} c^{a+b} \leq 1
$$
$$
a^{b+c} b^{c+a} c^{a+b} \leq 1
$$
MathNet 2001 — Part 01 Question 70
Math Olympiad Vault · MathNet 2001 — Part 01
Math Olympiad Vault · MathNet 2001 — Part 01