Question

Which of the following is the product of the rational expression shown below? 5/2x+1 ×6/x

a. 15/2x+1
b. 30/2x+1
c. 12x
d. 30/x

Answer 1

To multiply the rational expressions 5/(2x+1) and 6/x, multiply the numerators and denominators separately to get 30/(2x^2 + x). None of the given answer choices are correct.

Step-by-step explanation:

To find the product of the given rational expressions 5/(2x+1) × 6/x, we simply need to multiply them directly.

Step 1: Multiply the numerators together and the denominators together.
So you get (5 × 6) / ((2x+1) × x).

Step 2: Simplify the multiplication.
This results in 30 / (2x^2 + x).

None of the options presented in the question correspond to this simplified product. Therefore, none of the answer choices (a) 15/2x+1, (b) 30/2x+1, (c) 12x, (d) 30/x are correct. The actual product, as calculated, is 30/(2x^2 + x).