Which of the following is the quotient of the rational expressions shown below? x+2/2x+7 / x^4/x-2

To solve this problem you must apply the proccedure shown below:

 1. You have the following rational expressions given in the problem above:

 [(x+2)/(2x+7)]/ [(x^4)/(x-2)]

 2. Then, you have:

 (x+2)(x-2)/x^4(2x+7)

 3. When you apply the distributive, property, you obtain:

 (x^2-4)/(2x^5+4x^4)

 4. Therefore, as you can see, the answer is: (x^2-4)/(2x^5+4x^4)