Answer:
B. (5x+5)/(x²-2x)
Step-by-step explanation:
As with numerical fractions, division by a rational expression is equivalent to multiplication by its reciprocal.
As a multiplication problem
[tex]\dfrac{5}{x-2}\div\dfrac{x}{x+1}=\dfrac{5}{x-2}\times\dfrac{x+1}{x}[/tex]
Product of rational expressions
As with numerical fractions, the product is the product of numerators, divided by the product of denominators.
[tex]=\dfrac{5(x+1)}{x(x-2)}=\boxed{\dfrac{5x+5}{x^2-2x}}[/tex]
