SOLUTION: What is the complete factorization of 8xcubed - 27?

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Question 2135: What is the complete factorization of 8xcubed - 27?
Answer by matthew_sessoms(39) About Me  (Show Source):
You can put this solution on YOUR website!
8x%5E3+-+27 equals %282x%29%5E3+-+3%5E3


Remember the difference of 2 cubes? It states a%5E3+-+b%5E3 = %28a+-+b%29%28a%5E2+%2B+ab+%2B+b%5E2%29


In this equation the a=2x and the b=3. So we have:


%282x+-+3%29%28%282x%29%5E2+%2B+%282%29%283%29+%2B+3%5E2%29


Which simplifies to be...
%282x+-+3%29%284x%5E2+%2B+6x+%2B+9%29