SOLUTION: Please help me factor. thanks 1000x^3+1

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Question 75919: Please help me factor. thanks
1000x^3+1
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor:
1000x%5E3%2B1 Do you recognise this as the sum of two cubes?
%2810x%29%5E2%2B%281%29%5E3
You can factor the sum of two cubes as follows:
A%5E3%2BB%5E3+=+%28A%2BB%29%28A%5E2-AB%2BB%5E2%29 Applying this to your problem, where A = 10x and B = 1, you get:
%2810x%2B1%29%28%2810x%29%5E2-%2810x%29%281%29%2B%281%29%5E2%29 Simplify.
%2810x%2B1%29%28100x%5E2-10x%2B1%29