hello how can i factor x^6 - 1?
thanks alot
factoring x^6 - 1?
2008-04-13 4:47 pm
回答 (3)
2008-04-13 4:51 pm
✔ 最佳答案
x^6 - 1= (x^3 + 1)(x^3 - 1)
= (x + 1)(x^2 - x + 1)(x - 1)(x^2 + x + 1)
2008-04-13 4:57 pm
Writing x^6 as (x^3)^2
and 1 as 1*1
this expression is the difference of two squares
(a^2 - b^2) = (a+b)(a-b)
Therefore, the expression factors as
(x^3 + 1)(x^3 - 1)
and 1 as 1*1
this expression is the difference of two squares
(a^2 - b^2) = (a+b)(a-b)
Therefore, the expression factors as
(x^3 + 1)(x^3 - 1)
參考: Longtime college math teacher
2008-04-13 4:57 pm
x^6 - 1
(x^3-1)(x^3+1)
(x-1)(x^2 - x + 1)(x^3+1)
(x^3-1)(x^3+1)
(x-1)(x^2 - x + 1)(x^3+1)
收錄日期: 2021-05-01 10:22:19
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