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MathNet 2026 — Part 08 Question 32

Math Olympiad Vault · MathNet 2026 — Part 08

Question 32

Prove the inequality for positive $a$, $b$, $c$, $d$
$$
\frac{(a+b)^2}{cd} + \frac{(c+d)^2}{ab} \ge 8.
$$