Question

Factor completely 3x^2 - 147

Answer 1

3(x-7)(x+7)

Explanation:

In order to completely factor, begin by factoring out the greatest common factor. Both terms are divisible by 3 so 3 is the greatest common factor. 3(x^2-49). In order to completely factor, recognize x^2-49 as the difference of squares. Factor that into 3(x+7)(x-7).

Answer 2

3(x+7)(x-7)

Explanation:

Hello!

We can start by taking out the coefficient of 3 by factoring it out.

Factor:

The process of removing a factor or coefficient by dividing it out from the expression.

Factor the expression:

Remove the coefficient of 3

• 3x² - 147
• 3(x² - 49)

Factor using the product rule: a² - b² = (a+b)(a-b)

• 3(x² - 49) = 3(x + 7)(x-7)

There's your factored expression! 3(x+7)(x-7)