Упростите выражение: m/(m^2-2m+1)-(m+2)/(m^2+m-2).

\[\frac{m^{\backslash m^{2} + m - 2}}{m^{2} - 2m + 1} - \frac{m + 2^{\backslash m^{2} - 2m + 1\ }}{m^{2} + m - 2} =\]

\[= \frac{m^{3} + m^{2} - 2m - m^{3} - 2m^{2} + 2m^{2} + 4m - m - 2}{(m - 1)^{2}(m^{2} + m - 2)} =\]

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

\[= \frac{1}{(m - 1)^{2}}.\]