Решите уравнение: x^3-x^2=x-1.

\[x^{3} - x^{2} = x - 1\]

\[x^{3} - x^{2} - x + 1 = 0\]

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

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

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

\[x = \pm 1.\]

\[Ответ:x = \pm 1.\]