Cubed Roots HELP!

I need to simplify 7x^3 - 56

7x^3 - 56
7(x^3 - 56)

Now what? I know the answer, it is 7(x-2)(x + 2x + 4) but can someone please explain to me how they got there?

Question

Cubed Roots HELP!

I need to simplify 7x^3 - 56

7x^3 - 56
7(x^3 - 56)

Now what? I know the answer, it is  7(x-2)(x + 2x + 4) but can someone please explain to me how they got there?

anonymous · Answer

I apologize it is 7(x^3 - 8)

mathstudent55 · Answer

You need to factor $7(x^3 - 8)$  ?

mathstudent55 · Answer

The factorization of $a^3 - b^3$ is as follows:

$a^3 - b^3 = (a - b)(a^2 + ab + b^2) $

This is known as a difference of cubes.

anonymous · Answer

THANK YOU SO MUCH! That was the formula I couldnt remember!

mathstudent55 · Answer

You're welcome.