Hello: Can someone provide hints on the following? I am supposed to show that x^n - y^n is divisible by (x-y), where x and y are integers and y < x. I got to where I would need to show that x^(n+1) - y^(n+1) = some K*(x-y). But I am not sure what to do next? By brute force I think the division would need to be in the form of x^n + yx^(n-1) ... + y^(n-1) but how would I show something like that? Thanks!!