Proof for x^n-y^n=(x-y)(x^n-1+...+y^n-1)
Homework Statement
The question asks to prove that for any n\geq1,
x^{n}-y^{n}=(x-y)(x^{n-1}+x^{n-2}y+...+y^{n-1})
Homework Equations
x^{n}-y^{n}=(x-y)(x^{n-1}+x^{n-2}y+...+y^{n-1})
The Attempt at a Solution
So far, I used induction...