Решите неравенство: (x-2)(x^2-3x+7)>(x-2)(x^2+x-5).

\[(x - 2)( - 4x + 12) > 0\]

\[- 4 \cdot (x - 2)(x - 3) > 0\]

\[(x - 2)(x - 3) < 0\ \]

\[Ответ:(2;3).\]