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January 5th, 2012, 01:09 AM  #1 
Newbie Joined: Nov 2011 Posts: 21 Thanks: 0  Factoring problem: x^3 1
I know from my book that x^3  1 factors into: (x1)(x^2+x+1) but I don't know how they got there. Another example is: x^3  8 = x^2 + 2x + 4 . What's the logic here? Thank you. 
January 5th, 2012, 02:00 AM  #2 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1038  Re: Factoring problem: x^3 1 
January 5th, 2012, 02:22 AM  #3 
Newbie Joined: Nov 2011 Posts: 21 Thanks: 0  Re: Factoring problem: x^3 1
thanks

January 5th, 2012, 04:30 AM  #4 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,958 Thanks: 1146 Math Focus: Elementary mathematics and beyond  Re: Factoring problem: x^3 1
Difference of cubes: The formula for the sum of cubes can be derived in a similar fashion. 

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