prove that gcd(((a^m)-1)/(a-1));(a-1))=((a-1);m)
Help would be really appreciated.
I would like to see a solution of this problem using Bezout's theorem.
Here is a reference to Bezout's theorem as seen in Wikipedia
Bézout's theorem - Wikipedia, the free encyclopedia
.....X and Y are two algebraic curves in the Euclidean plane whose implicit equations are polynomials of degrees m and n without any non-constant common factor, then the number of intersection points does not exceed mn.