Question

Which of the following is the product of the rational expressions shown below:

5/(2x - 1) and 5/x?

A. 25/2x^2 - x

B. 25/2x - 1

C. 25/2x^2 + x

D. 25/x

Answer 1

The product of the rational expressions is 25/(2x^2 - x).

Step-by-step explanation:

The product of two rational expressions can be found by multiplying the numerators and multiplying the denominators. In this case, the rational expressions are 5/(2x - 1) and 5/x. To find the product, multiply the numerators, which gives us 5 * 5 = 25. Then, multiply the denominators, which gives us (2x - 1) * x = 2x^2 - x. Therefore, the product of the rational expressions is 25/(2x^2 - x).