1. The problem statement, all variables and given/known data Suppose that [itex]n^2[/itex] is odd and that 3 does not divide [itex]n^2[/itex]. Show that [itex]12|(n^2-1)[/itex] 2. Relevant equations none 3. The attempt at a solution Well I know that since [itex]n^2[/itex] is odd, [itex]n^2-1[/itex] is even. I'm not sure what the next step would be.