SOLUTION: x3y6-64

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Question 150911: x3y6-64
Answer by jim_thompson5910(28476) About Me  (Show Source):
You can put this solution on YOUR website!
Do you want to factor?

x%5E3y%5E6-64 Start with the given expression.


%28xy%5E2%29%5E3-%284%29%5E3 Rewrite x%5E3y%5E6 as %28xy%5E2%29%5E3. Rewrite 64 as %284%29%5E3.


%28xy%5E2-4%29%28%28xy%5E2%29%5E2%2B%28xy%5E2%29%284%29%2B%284%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


%28xy%5E2-4%29%28x%5E2y%5E4%2B4xy%5E2%2B16%29 Multiply

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Answer:
So x%5E3y%5E6-64 factors to %28xy%5E2-4%29%28x%5E2y%5E4%2B4xy%5E2%2B16%29.

In other words, x%5E3y%5E6-64=%28xy%5E2-4%29%28x%5E2y%5E4%2B4xy%5E2%2B16%29