$\displaystyle a,b,k$ are positive integer numbers such that: $\displaystyle k|a^2b+1$ and $\displaystyle k|ab^2+1$ prove that $\displaystyle k|a^3+1$ and $\displaystyle k|b^3+1$.
Thanks for help.
For forum organization purposes, there has been a new thread started by someone else with the same question.
http://www.mathhelpforum.com/math-he...ty-155566.html
Update: The problem has been resolved on the other thread.