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MathNet 2026 — Part 01 Question 6

Math Olympiad Vault · MathNet 2026 — Part 01

Question 6

Non-zero real numbers $a$, $b$, $c$ satisfy the equality
$$
\frac{ab}{b-c} + \frac{bc}{c-a} + \frac{ca}{a-b} = \frac{ab}{b+c} + \frac{bc}{c+a} + \frac{ca}{a+b} + 6abc.
$$