## Algebra: A Combined Approach (4th Edition)

$\dfrac{-2x}{x^{3}-8x}\div\dfrac{3x}{x^{3}-8x}=-\dfrac{2}{3}$
$\dfrac{-2x}{x^{3}-8x}\div\dfrac{3x}{x^{3}-8x}$ Evaluate the division of the two rational expressions and then simplify: $\dfrac{-2x}{x^{3}-8x}\div\dfrac{3x}{x^{3}-8x}=\dfrac{(-2x)(x^{3}-8x)}{(3x)(x^{3}-8x)}=\dfrac{-2x}{3x}=-\dfrac{2}{3}$