SOLUTION: How do you factor completely x cubed times y to the sixth power minus 27

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Question 677000: How do you factor completely x cubed times y to the sixth power minus 27
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E3y%5E6-27

%28xy%5E2%29%5E3-3%5E3

%28xy%5E2-3%29%28%28xy%5E2%29%5E2%2B3xy%5E2%2B%283%29%5E2%29 Use the difference of cubes factoring rule here.

%28xy%5E2-3%29%28x%5E2y%5E4%2B3xy%5E2%2B9%29

So x%5E3y%5E6-27 factors to %28xy%5E2-3%29%28x%5E2y%5E4%2B3xy%5E2%2B9%29