\[\boxed{\mathbf{852\ (852).\ }Еуроки\ - \ ДЗ\ без\ мороки}\]
\[1)\ \frac{a - 7}{a} = \frac{a}{a} - \frac{7}{a} = 1 - \frac{7}{a}\]
\[2)\ \frac{a^{2} + 2a - 2}{a + 2} =\]
\[= \frac{a(a + 2)}{a + 2} - \frac{2}{a + 2} = a - \frac{2}{a + 2}\]
\[3)\ \frac{x^{2} + 3x - 2}{x - 3} =\]
\[= \frac{x^{2} - 3x + 3x + 3x - 2}{x - 3} =\]
\[= \frac{x^{2} - 3x + 6x - 2}{x - 3} =\]
\[= \frac{x(x - 3)}{x - 3} + \frac{6x - 2}{x - 3} =\]
\[= x + \frac{6x - 2}{x - 3}\]