# SOLUTION: How do I factor completely x^8-1?

Algebra ->  -> SOLUTION: How do I factor completely x^8-1?      Log On

 Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Mathway solves algebra homework problems with step-by-step help!

 Question 152956: How do I factor completely x^8-1?Found 2 solutions by scott8148, jim_thompson5910:Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!this factors multiple times using the difference of squares x^8-1=(x^4-1)(x^4+1) x^4-1=(x^2-1)(x^2+1) x^2-1=(x-1)(x+1) x^8-1=(x^4+1)(x^2+1)(x+1)(x-1) Answer by jim_thompson5910(29613)   (Show Source): You can put this solution on YOUR website! Start with the given expression Rewrite as . Rewrite as Factor using the difference of squares formula. Remember, the difference of squares formula is Rewrite as . Rewrite as . Factor using the difference of squares formula Rewrite as . Factor using the difference of squares formula So the expression factors to In other words,