SOLUTION: Factor completely. 64 + 27w^3

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Question 384527: Factor completely.
64 + 27w^3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

64%2B27w%5E3 Start with the given expression.


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


%284%2B3w%29%28%284%29%5E2-%284%29%283w%29%2B%283w%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


%284%2B3w%29%2816-12w%2B9w%5E2%29 Multiply

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Answer:

So 64%2B27w%5E3 factors to %284%2B3w%29%2816-12w%2B9w%5E2%29.

In other words, 64%2B27w%5E3=%284%2B3w%29%2816-12w%2B9w%5E2%29


If you need more help, email me at jim_thompson5910@hotmail.com

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Jim