The expression x4+4x^4+4x4+4 can be factored over the integers as:
(x2+2x+2)(x2−2x+2)(x^2+2x+2)(x^2-2x+2)(x2+2x+2)(x2−2x+2)
(x2+2)2(x^2+2)^2(x2+2)2
(x2+2)(x2−2)(x^2+2)(x^2-2)(x2+2)(x2−2)
(x+2)(x−2)(x2+1)(x+2)(x-2)(x^2+1)(x+2)(x−2)(x2+1)