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

Answer:

Option 1st is correct

$(3x+5)(3x-5)$

Step-by-step 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, $(3x+5)(3x-5)$