Выполните действия (5x+35)/(3x-1):(x^2-49)/(6x-2).

\[\frac{5x + 35}{3x - 1}\ :\frac{x^{2} - 49\ }{6x - 2} = \frac{5x + 35}{3x - 1} \cdot \frac{6x - 2}{x^{2} - 49} =\]

\[= \frac{5(x + 7) \cdot 2(3x - 1)}{(3x - 1)(x - 7)(x + 7)} = \frac{10}{x - 7}\]