Which of the following quotient of the rational expressions shown below? 2x/x-1 divided by 5x/2x+4

4 (x+2) / 5 (x-1)

Step-by-step explanation:

We have given two expressions.

2x / x-1 expression I

5x / 2x+4 expression II

we have to find the quotient of expression I and expression II.

(2x / x-1) : (5x / 2x+4)

Applying following rule:

a : b = a * 1/b

(2x/x-1) * (2x+4 / 5x)

(2x) (2x+4) / (x-1) (5x)

(2) (2) (x+2) / (x-1) (5)

4 (x+2) / 5 (x-1) which is the answer of given question.