SOLUTION: Factor 128x^6 - 2y^6 So far I have factored a 2 out leaving me with 2(64x^6-y^6) I am confused where to go from here, I believe im supposed to set it up as a difference of

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor 128x^6 - 2y^6 So far I have factored a 2 out leaving me with 2(64x^6-y^6) I am confused where to go from here, I believe im supposed to set it up as a difference of       Log On


   

Question 869772: Factor
128x^6 - 2y^6
So far I have factored a 2 out leaving me with 2(64x^6-y^6)
I am confused where to go from here, I believe im supposed to set it up as a difference of squares or cubes, but im not sure how to go about that.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Exactly, Difference of Squares.

64 is a square; x%5E6 is a square; y%5E6 is a square. Finishing this one should just come to you.

...
YES, YES, YES! That is what I mean to say.
I invent here an example.
r%2Ar%2Ap%5E12.
I know this is a square term.
r%2Ar%2Ap%5E12=r%2Ar%2Ap%5E6%2Ap%5E6=rp%5E6%2Arp%5E6
%28rp%5E6%29%5E2

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Factor
128x^6 - 2y^6
So far I have factored a 2 out leaving me with 2(64x^6-y^6)
I am confused where to go from here, I believe im supposed to set it up as a difference of squares or cubes, but im not sure how to go about that.


128x%5E6+-+2y%5E6

2%2864x%5E6+-+y%5E6%29

2%28%288x%5E3%29%5E2+-+%28y%5E3%29%5E2%29

2%288x%5E3+-+y%5E3%29%288x%5E3+%2B+y%5E3%29

2%28%282x%29%5E3+-+%28y%29%5E3%29%28%282x%29%5E3+%2B+%28y%29%5E3%29