SOLUTION: how do you factor 3x^3-24?

Question 242490: how do you factor 3x^3-24?
Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
Factor out 3 and then divide each term by 3.
3(x^3 - 8)
Inside the parentheses, we have the difference of cubes.
Do you know how to factor from this point on?
=========================================================
I received your reply.
Here is mine.

Factor out 3 and then divide each term by 3.
We get this: 3(x^3 - 8)
Inside the parentheses, we have the difference of cubes.

We need the difference of cubes formula and it is:

a^3 � b^3 = (a � b)(a^2 + ab + b^2)

We simply plug and chug.

8 = 23

x3 � 8 becomes x3 � 23.

Are you following so far?

x^3 � 2^3 = (x � 2)(x^2 + 2x + 4)

I simply plugged x and 2 into the difference of cubes formula and simplified.

So, the final answer is: 3(x � 2)(x^2 + 2x + 4)

Guido

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