\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Show that for every \(n \in \mathbb{Z}\), \(n(n + 1)(2n + 1)\) is divisible by \(6\). Hint. Show divisibility by \(2\) and by \(3\) separately.
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