[poper]

$(x^4+x^2+1)-(x^3-1)=0$

$[(x^2+1)^2-x^2]-(x-1)(x^2+x+1)=0$

$(x^2+x+1)(x^2-x+1)-(x-1)(x^2+x+1)=0$

$(x^2+x+1)(x^2-2x+2)=0$