SOLUTION: Please factor completely 8y^3+27x^3

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Question 636373: Please factor completely
8y^3+27x^3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

8y%5E3%2B27x%5E3 Start with the given expression.


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


%282y%2B3x%29%28%282y%29%5E2-%282y%29%283x%29%2B%283x%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


%282y%2B3x%29%284y%5E2-6xy%2B9x%5E2%29 Multiply

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Answer:

So 8y%5E3%2B27x%5E3 factors to %282y%2B3x%29%284y%5E2-6xy%2B9x%5E2%29.

In other words, 8y%5E3%2B27x%5E3=%282y%2B3x%29%284y%5E2-6xy%2B9x%5E2%29