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## Main Question or Discussion Point

**1. Homework Statement**

Use mathematical induction to prove, for all integers [itex]n >= 1[/itex]

[itex]n^3 - n[/itex] is divisible by 3

**2. Homework Equations**

Found equations with addition but no subtract involved.

**3. The Attempt at a Solution**

Another question suggests you expand the brackets, then insert the original theorem which prooves that the whole statement is true? (divisible by 3)