\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Show that for every \(n \in \mathbb{Z}\), \(6 \mid n^3 - n\). Hint. Factor \(n^3 - n\) and use that the product of three consecutive integers is divisible by \(6\).
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