I'm having a tough time understanding these:

X^6 - 1

http://img.nattawat.org/images/kqb6m...6sd4_thumb.jpg

http://img.nattawat.org/images/c0ix0...tpwz_thumb.jpg

And if you can, please give me a little explanation on how you got the answer.

- Jan 12th 2011, 02:19 PMConnor[Solved]Having trouble w/ a few Factoring Polynomials and Radical Expression problems
I'm having a tough time understanding these:

X^6 - 1

http://img.nattawat.org/images/kqb6m...6sd4_thumb.jpg

http://img.nattawat.org/images/c0ix0...tpwz_thumb.jpg

And if you can, please give me a little explanation on how you got the answer. - Jan 12th 2011, 02:21 PMdwsmith

Does this help for the first one? - Jan 12th 2011, 02:22 PMdwsmith

Do you want all the solutions or just the two real solutions? - Jan 12th 2011, 02:24 PMdwsmith
- Jan 12th 2011, 02:27 PMpickslides
- Jan 12th 2011, 02:30 PMConnor
- Jan 12th 2011, 02:34 PMConnor
- Jan 12th 2011, 02:34 PMdwsmith
- Jan 12th 2011, 02:35 PMdwsmith
- Jan 12th 2011, 02:36 PMe^(i*pi)
Once you've used the difference of two squares (as Pickslides suggests) then you can use the sum/difference of two cubes

Since x^6 and 1 are both square numbers and cube numbers you can start with either formula - Jan 12th 2011, 02:41 PMConnor
- Jan 12th 2011, 02:44 PMdwsmith
- Jan 12th 2011, 02:46 PMConnor
- Jan 12th 2011, 02:48 PMdwsmith
Do the last problem in the same method. I have already completed one step for you, see post 4.

- Jan 12th 2011, 02:55 PMConnor