Сократите дробь (x^2-7x+6)/(1-x).

Ответ:

\[\frac{x^{2} - 7x + 6}{1 - x} = \frac{(x - 6)(x - 1)}{- (x - 1)} =\]

\[= \frac{x - 6}{- 1} = 6 - x.\]

\[x^{2} - 7x + 6 = x^{2} - x - 6x + 6 =\]

\[= x(x - 1) - 6(x - 1) = (x - 6)(x - 1).\]