Question

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

x 2x
--------- * -----------
x - 5 x + 4

Answer 1

The product of the given rational expressions is 2x^2 / (x^2- x - 20).

Step-by-step explanation:

To find the product of the rational expressions, we can multiply the numerators together and multiply the denominators together. In this case, the product is:

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

Next, we can simplify the expression by multiplying the terms:

2x^2 / (x^2 - x - 20)

Therefore, the product of the given rational expressions is 2x^2 / (x^2 - x - 20).

Answer 2

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

`(2x^(2) )/((x-5)(x+4))` (distribute out the bottom)

`(2 x^(2) )/( x^(2) + 4x-5x-20)`

`(2 x^(2) )/( x^(2) -1x-20)` (this is your answer)