posted by Brenda .
Generalize the pattern for the division of (x^n)-(y^n) by x-y
set up a long algebraic divsion , hard to show in this format
I hope you know how to perform that
x^n - y^n = (x-y)(x^(n-1) + yx^(n-2) + y^2 x^(n-3) + ... + y^(n-1) )