Выполните действия: (x^2-49)/(3x-24):(5x+35)/(x-8).

\[\frac{x^{2} - 49}{3x - 24}\ :\frac{5x + 35}{x - 8} =\]

\[= \frac{\left( x^{2} - 49 \right)(x - 8)}{3(x - 8) \cdot (5x + 35)} =\]

\[= \frac{(x - 7)(x + 7)}{3 \cdot 5(x + 7)} = \frac{x - 7}{15}.\]