Factor the polynomial x2n−y2nx^{2n} - y^{2n}x2n−y2n completely over the reals for any positive integer nnn.
(x−y)(x+y)(x2+y2)n−1(x-y)(x+y)(x^2+y^2)^{n-1}(x−y)(x+y)(x2+y2)n−1
(xn−yn)(xn+yn)(x^n - y^n)(x^n + y^n)(xn−yn)(xn+yn)
Cannot be factored further
(x−y)n(x+y)n(x-y)^n(x+y)^n(x−y)n(x+y)n