MathCastle
Proof Writing & Problem SolvingEasy

Proof Writing & Problem Solving · Easy problem

A direct proof that 6∣n3−n6 \mid n^3 - n factors n3−n=(n−1)n(n+1)n^3 - n = (n-1)n(n+1), a product of three consecutive integers. For n=10n = 10, what is n3−n6\dfrac{n^3 - n}{6}?

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