Question 102
Prove that
$$
a^2 b^2 (a^2 + b^2 - 2) \geq (a + b)(ab - 1)
$$
for all positive real numbers $a$ and $b$.
$$
a^2 b^2 (a^2 + b^2 - 2) \geq (a + b)(ab - 1)
$$
for all positive real numbers $a$ and $b$.
MathNet 2010 — Part 06 Question 102
Math Olympiad Vault · MathNet 2010 — Part 06