SOLUTION: how to factor x^3 - 1

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Question 1057451: how to factor x^3 - 1
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
how to factor x^3 - 1
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It's a difference of 2 cubes.
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a%5E3+-+b%5E3+=+%28a-b%29%2A%28a%5E2+%2B+ab+%2B+b%5E2%29

Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
how to factor x^3 - 1
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x%5E3-1 = %28x-1%29%2A%28x%5E2+%2B+x+%2B+1%29.

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For your INFO:

1. The cube of the sum formula is                 %28a+%2B+b%29%5E3+=+a%5E3+%2B+3a%5E2%2Ab+%2B+3a%2Ab%5E2+%2B+b%5E3.
      For details and examples of applications of this formula see the lesson  The cube of the sum formula  in this site.


2. The cube of the difference formula is     %28a+-+b%29%5E3+=+a%5E3+-+3a%5E2%2Ab+%2B+3a%2Ab%5E2+-+b%5E3.
      For details and examples of applications of this formula see the lesson  The cube of the difference formula  in this site.


3. The sum of cubes formula is                       a%5E3+%2B+b%5E3+=+%28a+%2B+b%29%2A%28a%5E2+-+ab+%2B+b%5E2%29.
      For details and examples of applications of this formula see the lesson  The sum of cubes formula  in this site.

4. The difference of cubes formula is           a%5E3+-+b%5E3+=+%28a+-+b%29%2A%28a%5E2+%2B+ab+%2B+b%5E2%29.
      For details and examples of applications of this formula see the lesson  The difference of cubes formula  in this site.