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January 5th, 2012, 01:09 AM   #1
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Factoring problem: x^3 -1

I know from my book that x^3 - 1 factors into: (x-1)(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.
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January 5th, 2012, 02:00 AM   #2
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Re: Factoring problem: x^3 -1

http://www.google.ca/#hl=en&cp=11&gs_id ... a1e716d393
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January 5th, 2012, 02:22 AM   #3
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Re: Factoring problem: x^3 -1

thanks
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January 5th, 2012, 04:30 AM   #4
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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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