Question

For what integer values of n is x-y a factor of x^n - y^n?

Answer 1

For any natural number \(n\), you can factor \(x^n-y^n\) as:\[x^n-y^n=(x-y)(x^{n-1}+x^{n-2}y+x^{n-3}y^2+\cdots +xy^{n-2}+y^{n-1}).\]

Answer 2

so all values?