Question

Factor completely 9x2 − 25. (3x + 5)(3x − 5) (3x − 5)(3x − 5) (9x + 5)(x − 5) (9x − 5)(x + 5)

Answer 1

(3x-5)(3x+5) is it properly factored so the first option.

Answer 2

Option 1st is correct

`(3x+5)(3x-5)`

Explanation:

Using the identity rule:

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

Given the equation:

`9x^2-25`

We can write
`9x^2` and 25 as:

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

`25 = 5^2`

then;

`9x^2-25 = (3x)^2-5^2`

Apply the identity rule:

`9x^2-25 =(3x+5)(3x-5)`

Therefore, the complete factored of
`9x^2-25` is,
`(3x+5)(3x-5)`