SOLUTION: Please can someone walk me through factoring this polynomial? Factor completely 64x^3-27 Thank you

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Question 60916: Please can someone walk me through factoring this polynomial?
Factor completely
64x^3-27
Thank you
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
The formula you need to remember is:highlight%28a%5E3-b%5E3=%28a-b%29%28a%5E2%2Bab%2Bb%5E2%29%29
Factor completely
64x%5E3-27
%284x%29%5E3-%283%29%5E3
Use the formula letting a=4x and b=3
%284x-3%29%28%284x%29%5E2%2B%284x%29%283%29%2B%283%29%5E2%29
%284x-3%29%2816x%5E2%2B12x%2B9%29
Happy Calculating!!!