SOLUTION: Factor the expression: 64x^3+27

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Question 778429: Factor the expression:
64x^3+27

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

64x%5E3%2B27 Start with the given expression.


%284x%29%5E3%2B%283%29%5E3 Rewrite 64x%5E3 as %284x%29%5E3. Rewrite 27 as %283%29%5E3.


%284x%2B3%29%28%284x%29%5E2-%284x%29%283%29%2B%283%29%5E2%29 Now factor by using the sum of cubes formula. Remember the sum of cubes formula is A%5E3%2BB%5E3=%28A%2BB%29%28A%5E2-AB%2BB%5E2%29


%284x%2B3%29%2816x%5E2-12x%2B9%29 Multiply

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Answer:

So 64x%5E3%2B27 factors to %284x%2B3%29%2816x%5E2-12x%2B9%29.

In other words, 64x%5E3%2B27=%284x%2B3%29%2816x%5E2-12x%2B9%29