Найдите частное: (5n-10)/(a^2+8n+16):(4-n^2)/(n+4).

\[\frac{5n - 10}{n^{2} + 8n + 16}\ :\frac{4 - n^{2}}{n + 4} =\]

\[= \frac{5n - 10}{n^{2} + 8n + 16} \cdot \frac{n + 4}{4 - n^{2}} =\]

\[= \frac{- 5(2 - n)(n + 4)}{(n + 4)^{2}(2 - n)(2 + n)} =\]

\[= \frac{- 5}{(n + 4)(2 + n)}.\]