Answer
$ \frac{3}{5x(x-2)}$
Work Step by Step
By factoring both the denominator and numerator of each rational function and cancelling the common factors, we have
$$
\frac{3x+6}{5x^2}\cdot \frac{x}{x^2-4} = \frac{3(x+2)}{5x^2}\cdot \frac{x}{(x+2)(x-2)} \\
= \frac{3}{5x(x-2)}
.$$
