Упростите выражение 1+(5a-1)/(a^2-10a+25)-a/(a-5).

\[1^{{\backslash(a - 5)}^{2}} + \frac{5a - 1}{a^{2} - 10a + 25} - \frac{a^{\backslash a - 5}}{a - 5} =\]

\[= \frac{a^{2} - 10a + 25 + 5a - 1 - a^{2} + 5a}{(a - 5)^{2}} =\]

\[= \frac{24}{(a - 5)^{2}}.\]