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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?
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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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