Answer
$\frac{x^2}{2(x-2)}$, or (B)
Work Step by Step
Factor each term, in both numerators and denominators:
$\frac{x^3}{x^2-4} * \frac{5x+10}{10x} = \frac{x^3}{(x+2)(x-2)}*\frac{5(x+2)}{10x}$
Cancel out the following:
1. the 5 in the numerator of the second term with the 10 in the denominator (resulting in a 2 on the bottom)
2. The (x-2) terms on the top and bottom
3. The x in the denominator with the $x^3$ in the numerator (resulting in $x^2$ in the top)
This equals: $\frac{x^2}{2(x-2)}$
