**Factor 2x^3-128**

**Answer:**

To start this problem you must know that there are formulas for this kind of factorization… Here they are.

(a^3)+(b^3)=(a+b)((a^2)-ab+(b^2))… or

(a^3)-(b^3)=(a-b)((a^2)+ab+(b^2))

In this case, we will be using the second formula.

We can factor out a GCF(Greatest Common Factor) in this problem.

Which is 2.

So… 2((x^3)-64)

“a” represents the number thats cubed to get x^3…

(x)(x)(x)=x^3

So in this case a=x

"b" represents the number thats cubed to get 64…

4x4x4=64

So in this case b=4.

So now using our formula we can easily factor our problem.

(a+b)((a^2)-(ab)+(b^2))

2(x-4)((x^2)+4x+16) and thats as far as you can factor without using the quadratic formula.