hard · GMAT Quant

Which of the following expressions represents the greatest common divisor of n^3 - n and n^3 + 2n^2 + n for all odd integers n > 1?

1. n(n+1)
2. n(n-1)
3. 2n(n+1)
4. n(n+1)^2
5. 2n^2(n+1)

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