Respuesta :

x^2 - 9 =
(x + 3)(x - 3)

For this case, we have to define the difference of squares:

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

We then have the following expression:

[tex]x ^ 2 - 9[/tex]

From here, we observe that:

[tex]a = x\\b = 3[/tex]

Therefore, replacing values we have:

[tex]x ^ 2 - 9 = (x + 3) (x-3)[/tex]

Answer:

The factorization of the given expression is:

[tex]x ^ 2 - 9 = (x + 3) (x-3)[/tex]