Question

What is the expression in factored form?

x^2 - 25

Answer 1

The expression factored is (x+5)(x-5).

Answer 2

For this case, we must factor the following expression:

`x ^ 2-25`

By definition, by difference of percfect squares we have:

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

Let:

`a = x\\b = 5`

We have:

`x ^ 2-25 = x ^ 2-5 ^ 2 = (x + 5) (x-5)`

Thus, the factored expression is:

`(x + 5) (x-5)`

Answer:

`(x + 5) (x-5)`