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

The answer is x^2-4/2x^5+7x^4

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)