Question

Which of the following is the product of the rational expressions shown below ? (x + 3)/(x + 2) * (x - 3)/(x - 2)

Answer 1

option D

Explanation:

Ap3x

Answer 2

Option D :
`(x^2-9)/(x^2-4)` is the correct answer.

Explanation:

Given rational expression is:

`(x+3)/(x+2)*(x-3)/(x-2)`

In the first step of solving the rational expression, we will multiply the nominators and denominators.

`((x+3)(x-3))/((x+2)(x-2))`

`(x^2-3x+3x-9)/(x^2-2x+2x-4)`

Now we will solve the alike terms.

`(x^2-9)/(x^2-4)`

The product of rational expression is
`(x^2-9)/(x^2-4)`

Hence,

Option D :
`(x^2-9)/(x^2-4)` is the correct answer.