Упростите выражение: (36-8x)/(x-6)^2-(4x-x^2)/(6-x)^2.

Ответ:

\[\frac{36 - 8x}{(x - 6)^{2}} - \frac{4x - x^{2}}{(6 - x)^{2}} =\]

\[= \frac{36 - 8x}{(x - 6)^{2}} - \frac{4x - x^{2}}{(x - 6)^{2}} =\]

\[= \frac{36 - 8x - 4x + x^{2}}{(x - 6)^{2}} =\]

\[= \frac{x² - 12x + 36}{(x - 6)²} = \frac{(x - 6)²}{(x - 6)²} = 1\]