What is 12x-96 can somebody break it down

Question

anonymous · Answer

What do you mean by break it down?  Do you have a value for x, or does your teacher want you do expand the entire problem?

anonymous · Answer

Factors the expression by using the pattern for the sum or different of cubes. The problem is 12x to the 3rd power subtract 96

anonymous · Answer

If we factor, we get $$12(x-8)$$

phi · Answer

do you mean
$$ 12x^3 -96 $$
?
if you should write it as  12x^3 -96

anonymous · Answer

Oh, I didn't notice that exponent.  I apologize.  Let me resolve

anonymous · Answer

Factoring $$12x^3-96$$ gives us  $$12(x-2)(x^2+2x+4)$$

anonymous · Answer

Yes phi thanks guys!!! Yes that is what I ment

anonymous · Answer

Yes it does but he wants me to show my work

phi · Answer

they want you to learn how to factor
12x^3 - 96

the first step is factor 12 out of each term to get
$$ 12 (x^3 - 8)$$
the next "trick" is to know that 8 = 2*2*2= 2^3
$$ 12 (x^3 - 2^3)$$

now use the "pattern" they want you to learn to factor the difference of cubes

anonymous · Answer

X^3 + 125 @mossyfish @phi

anonymous · Answer

$$(x+5)(x2−5x+25) $$