(x^2-1)(x^4+x^2+1)-(x^2-1)(x^2-1)(x^2-1)

Question

(x^2-1)(x^4+x^2+1)-(x^2-1)(x^2-1)(x^2-1)

Answer 1

(x^2-1)(x^4+x^2+1)-(x^2-1)(x^2-1)(x^2-1)=(x-1)(x+1)(x^2-x+1)*(x^2+x+1)-(x-1)(x+1)(x-1)^2*(x+1)^2=3x^4-3x^2=3x^2(x-1)(x+1)