Question

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

Answer 1

Answer:

Option D : $\frac{x^2-9}{x^2-4}$ is the correct answer.

Step-by-step explanation:

Given rational expression is:

$\frac{x+3}{x+2}*\frac{x-3}{x-2}$

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

$\frac{(x+3)(x-3)}{(x+2)(x-2)}$

$\frac{x^2-3x+3x-9}{x^2-2x+2x-4}$

Now we will solve the alike terms.

$\frac{x^2-9}{x^2-4}$

The product of rational expression is $\frac{x^2-9}{x^2-4}$

Hence,

Option D : $\frac{x^2-9}{x^2-4}$ is the correct answer.