SOLUTION: Please Factor: 8x^3 + 27y^6 Thank You!

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Question 642697: Please Factor: 8x^3 + 27y^6
Thank You!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

8x%5E3%2B27y%5E6 Start with the given expression.


%282x%29%5E3%2B%283y%5E2%29%5E3 Rewrite 8x%5E3 as %282x%29%5E3. Rewrite 27y%5E6 as %283y%5E2%29%5E3.


%282x%2B3y%5E2%29%28%282x%29%5E2-%282x%29%283y%5E2%29%2B%283y%5E2%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


%282x%2B3y%5E2%29%284x%5E2-6xy%5E2%2B9y%5E4%29 Multiply

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Answer:

So 8x%5E3%2B27y%5E6 factors to %282x%2B3y%5E2%29%284x%5E2-6xy%5E2%2B9y%5E4%29.

In other words, 8x%5E3%2B27y%5E6=%282x%2B3y%5E2%29%284x%5E2-6xy%5E2%2B9y%5E4%29