SOLUTION: Factor completely. 12x3 – 3xy2 A) 3x(2x + y)(2x – y) C) 3x(4x – y)(x + y) B) 3x(2x – y)2 D) 12x(x – 3y)(x – y)

Algebra ->  Equations -> SOLUTION: Factor completely. 12x3 – 3xy2 A) 3x(2x + y)(2x – y) C) 3x(4x – y)(x + y) B) 3x(2x – y)2 D) 12x(x – 3y)(x – y)       Log On


   

Question 46154: Factor completely. 12x3 – 3xy2
A) 3x(2x + y)(2x – y) C) 3x(4x – y)(x + y)
B) 3x(2x – y)2 D) 12x(x – 3y)(x – y)
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor:
12x%5E3-3xy%5E2 First factor out 3x.
3x%284x%5E2-y%5E2%29 Notice that the term within the parentheses is the difference of two squares %282x%29%5E2+-+%28y%29%5E2 and this will factor nicely because: A%5E2-B%5E2+=+%28A%2BB%29%28A-B%29
3x%282x%2By%29%282x-y%29