SOLUTION: I am trying to factor the combination 3x^3+24 however don't get the correct answer. I have worked it over and over. my teacher got the answer 3(x+2)(x^2-2x+4) I can't seem

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: I am trying to factor the combination 3x^3+24 however don't get the correct answer. I have worked it over and over. my teacher got the answer 3(x+2)(x^2-2x+4) I can't seem       Log On


   

Question 271085: I am trying to factor the combination
3x^3+24 however don't get the correct answer. I have worked it over and over.
my teacher got the answer 3(x+2)(x^2-2x+4) I can't seem to figure out how. Thank you for your help
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
common factor 3 ___ 3 (x^3 + 8) ___ this is the "sum of cubes"

a^3 + b^3 factors into (a + b)(a^2 - ab + b^2)

in this case ___ 3 (x + 2) ( x^2 - 2x + 4)