SOLUTION: Factor Completely: 64-27u^3 Thank you!

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Question 785261: Factor Completely: 64-27u^3
Thank you!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

64-27u%5E3 Start with the given expression.


%284%29%5E3-%283u%29%5E3 Rewrite 64 as %284%29%5E3. Rewrite 27u%5E3 as %283u%29%5E3.


%284-3u%29%28%284%29%5E2%2B%284%29%283u%29%2B%283u%29%5E2%29 Now factor by using the difference of cubes formula. Remember the difference of cubes formula is A%5E3-B%5E3=%28A-B%29%28A%5E2%2BAB%2BB%5E2%29


%284-3u%29%2816%2B12u%2B9u%5E2%29 Multiply

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Answer:
So 64-27u%5E3 factors to %284-3u%29%2816%2B12u%2B9u%5E2%29.

In other words, 64-27u%5E3=%284-3u%29%2816%2B12u%2B9u%5E2%29