\[x - \frac{9}{x - 3} - 3 =\]
\[= (x - 3)^{\backslash x - 3} - \frac{9}{x - 3} =\]
\[= \frac{(x - 3)^{2} - 9}{x - 3} =\]
\[= \frac{x^{2} - 6x + 9 - 9}{x - 3} =\]
\[= \frac{x² - 6x}{x - 3}\]