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