Решите неравенство: (x-4)(x^2-5x+8)>(x-4)(x^2+x-4).

\[(x - 4)( - 6x + 12) > 0\]

\[- 6 \cdot (x - 4)(x - 2) > 0\]

\[(x - 4)(x - 2) < 0\]

\[Ответ:(2;4).\]