Решите уравнение: (x-1)(x^2+x+1)-x^2(x-1)=0.

\[(x - 1)\left( x^{2} + x + 1 \right) - x^{2}(x - 1) = 0\]

\[(x - 1)\left( x^{2} + x + 1 - x^{2} \right) = 0\]

\[(x - 1)(x + 1) = 0\]

\[x = \pm 1.\]

\[Ответ:x = \pm 1.\]