SOLUTION: Can you show me how to factor 8x^3-1

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Question 47981: Can you show me how to factor 8x^3-1
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor:
8x%5E3-1 You should recognise this as the difference of two cubes %282x%29%5E3-%281%29%5E3
The difference of two cubes can be factored thus:
A%5E3-B%5E3+=+%28A-B%29%28A%5E2%2BAB%2BB%5E2%29 Applying this to your problem in which A = 2x and B = 1:
%282x%29%5E3-%281%29%5E3+=+%282x-1%29%284x%5E2%2B2x%2B1%29...and this is as far as you can go with this.