SOLUTION: 64c^9 - 27y^6 Factor

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Question 472516: 64c^9 - 27y^6 Factor
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

64c%5E9-27y%5E6 Start with the given expression.


%284c%5E3%29%5E3-%283y%5E2%29%5E3 Rewrite 64c%5E9 as %284c%5E3%29%5E3. Rewrite 27y%5E6 as %283y%5E2%29%5E3.


%284c%5E3-3y%5E2%29%28%284c%5E3%29%5E2%2B%284c%5E3%29%283y%5E2%29%2B%283y%5E2%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


%284c%5E3-3y%5E2%29%2816c%5E6%2B12c%5E3y%5E2%2B9y%5E4%29 Multiply

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Answer:
So 64c%5E9-27y%5E6 factors to %284c%5E3-3y%5E2%29%2816c%5E6%2B12c%5E3y%5E2%2B9y%5E4%29.

In other words, 64c%5E9-27y%5E6=%284c%5E3-3y%5E2%29%2816c%5E6%2B12c%5E3y%5E2%2B9y%5E4%29