- #1
hammonjj
- 33
- 0
Show that n^3(n+1)^3(n+2)^3 is divisible by 9.
The claim is obvious, so I tried to solve by induction, but I don't see how to simplify it so the two side are equal. You end up with:
(n+1)^3(n+2)^3(n+3)^3
Thanks in advance!
The claim is obvious, so I tried to solve by induction, but I don't see how to simplify it so the two side are equal. You end up with:
(n+1)^3(n+2)^3(n+3)^3
Thanks in advance!