(x^3-x^2)(x^3+x^2)-(1-x^2)(1+x^2 x^4)
x^6 + x^5 - x^5 - x^4 - x^2 + x^3 + x^2 - x - (1 - x^2 + x^2 x^4)
x^6 - x^4 + x^3 + x - 1
(x^3-x^2)(x^3+x^2)-(1-x^2)(1+x^2 x^4)
x^6 + x^5 - x^5 - x^4 - x^2 + x^3 + x^2 - x - (1 - x^2 + x^2 x^4)
x^6 - x^4 + x^3 + x - 1