Factor 3x to the second minus 75?

Question

factoring

Answer 1

Step 1: Divide everything by 3 and then put it in parentheses next to 3.

3 ( x^2 - 25 )

* We know this is a special product because it follows the pattern of a^2 - b^2. To solve, we rewrite it as (a + b)(a - b)

Step 2 -  Plug the values of a and b in. (a is x and b is 25 since 5^2 is 25)

(x + 5) (x - 5)

Your final answer is 3(x+5)(x-5)

Answer 2

3x^2 - 75

3(x^2 - 25)

Difference of two squares: (x + a)(x - a) = x^2 - ax + ax - a^2 = x^2 - a^2

Here a = 5

3(x + 5)(x - 5)

Answer 3

3x^2 - 75

= 3(x^2 - 25)

= 3(x+5)(x-5)

Answer 4

3x^2 - 75

= 3(x^2 - 25)

= 3(x + 5)(x - 5)