SOLUTION: t^8-1...factor....

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: t^8-1...factor....      Log On


   

Question 67157: t^8-1...factor....
Answer by 303795(602) About Me  (Show Source):
You can put this solution on YOUR website!
Difference of squares
t%5E8-1=%28t%5E4%2B1%29%28t%5E4-1%29
Still a Difference of squares
%28t%5E4%2B1%29%28t%5E4-1%29=%28t%5E4%2B1%29%28t%5E2%2B1%29%28t%5E2-1%29
Still a Difference of squares!

Final result
t%5E8-1=%28t%5E4%2B1%29%28t%5E2%2B1%29%28t%2B1%29%28t-1%29