Question 78825: Factor completely.
12x^3 – 3xy^2
This is my answer is it right?
12x(x – 3y)(x – y)
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! 12x^3 – 3xy^2
This is my answer is it right?
12x(x – 3y)(x – y)
:
No, you can factor out 3x, not 12x
3x(4x^2 - y^2)
:
(4x^2 - y^2) is the difference of squares so you have:
:
3x(2x - y)(2x + y)
:
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you can check it by
FOILing (2x - y) (2x + y) to
(4x^2 - y^2)
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Then
3x*(4x^2 - y^2) = 12x^3 - 3xy^2, the original expression
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Remember what is outside of the brackets, affects everything inside the brackets
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