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MathNet 2026 — Part 07 Question 151

Math Olympiad Vault · MathNet 2026 — Part 07

Question 151

Which is a set of factors of $(r-s)^{3}+(s-t)^{3}+(t-r)^{3}$ ?
  1. $\{r-s, s-t, t-r\}$
  2. $\{3 r-3 s, s+t, t+r\}$
  3. $\{r-s, s-t, t-2 r t+r\}$
  4. $\left\{r^{2}-s^{2}, s-t, t-r\right\}$