SOLUTION: Factor completely. 64x^3 + 1

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Question 428046: Factor completely.
64x^3 + 1
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
Solution:Use the well known formula: a%5E3%2Bb%5E3=%28a%2Bb%29%28a%5E2-ab%2Bb%5E2%29
where a%5E3=64x%5E3=%284x%29%5E3
and b%5E3=1=1%5E3,after substituting we have:
64x%5E3%2B1=%284x%29%5E3%2B1%5E3=%284x%2B1%29%2816x%5E2-4x%2B1%29
Done.