Given positive integers k, m, and n, how do you show k divides m^(k-1)+m^(k-2)*n+...+mn^(k-2)+n^(k-1) ?
I have tried using the binomial theorem, but to no avail (problems when k is composite).
Any help would be greatly appreciated!
Given positive integers k, m, and n, how do you show k divides m^(k-1)+m^(k-2)*n+...+mn^(k-2)+n^(k-1) ?
I have tried using the binomial theorem, but to no avail (problems when k is composite).
Any help would be greatly appreciated!