Упростите выражение: 1/(x-2)+4x/(4-x^2)*(1/(x-1)-1/(x^2-x)).

\[= \frac{1}{x - 2} + \frac{4x}{\left( 4 - x^{2} \right)x} =\]

\[= \frac{1}{x - 2} + \frac{4}{(2 - x)(2 + x)} =\]

\[= \frac{1^{\backslash 2 + x}}{x - 2} - \frac{4}{(x - 2)(2 + x)} =\]

\[= \frac{2 + x - 4}{(x - 2)(2 + x)} =\]