Question

Factor this expression completely and then place the factors in the proper location on the grid.

x2 - 9

Answer 1

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

Answer 2

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

`a ^ 2-b ^ 2 = (a + b) (a-b)`

We then have the following expression:

`x ^ 2 - 9`

From here, we observe that:

`a = x\\b = 3`

Therefore, replacing values we have:

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

Answer:

The factorization of the given expression is:

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