Answer:
Option D : [tex]\frac{x^2-9}{x^2-4}[/tex] is the correct answer.
Step-by-step explanation:
Given rational expression is:
[tex]\frac{x+3}{x+2}*\frac{x-3}{x-2}[/tex]
In the first step of solving the rational expression, we will multiply the nominators and denominators.
[tex]\frac{(x+3)(x-3)}{(x+2)(x-2)}[/tex]
[tex]\frac{x^2-3x+3x-9}{x^2-2x+2x-4}[/tex]
Now we will solve the alike terms.
[tex]\frac{x^2-9}{x^2-4}[/tex]
The product of rational expression is [tex]\frac{x^2-9}{x^2-4}[/tex]
Hence,
Option D : [tex]\frac{x^2-9}{x^2-4}[/tex] is the correct answer.
