Respuesta :

Answer:

[tex]f(x)=(3x+2)(3x-2)[/tex]


Step-by-step explanation:

To solve the exercise you must apply the proccedure shown below:

1. You can rewrite the following terms:

[tex]9x^{2}=[(3x)^{2}[/tex]

[tex]4=2^{2}[/tex]

2. Both are perfect squares, therefore, by the difference of squares:

[tex]a^{2}-b^{2}=(a+b)(a-b)[/tex]

3. Then, you can rewrite the quadratic equation as it is shown below:

 [tex]f(x)=(3x+2)(3x-2)[/tex]