Question

Question 8 of 25

Which of the following is the quotient of the rational expressions shown here?

Answer 1

B. (5x+5)/(x²-2x)

Explanation:

As with numerical fractions, division by a rational expression is equivalent to multiplication by its reciprocal.

As a multiplication problem

`(5)/(x-2)/(x)/(x+1)=(5)/(x-2)*(x+1)/(x)`

Product of rational expressions

As with numerical fractions, the product is the product of numerators, divided by the product of denominators.

`=(5(x+1))/(x(x-2))=\boxed{(5x+5)/(x^2-2x)}`