Сократите дробь (x^2-x-2)/(2-x).

Ответ:

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

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

\[x^{2} - 2x + x - 2 =\]

\[= x(x - 2) + (x - 2) =\]

\[= (x - 2)(x + 1).\]