SOLUTION: factor polynomials 8x^3+125y^3

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Question 316739: factor polynomials
8x^3+125y^3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

8x%5E3%2B125y%5E3 Start with the given expression.


%282x%29%5E3%2B%285y%29%5E3 Rewrite 8x%5E3 as %282x%29%5E3. Rewrite 125y%5E3 as %285y%29%5E3.


%282x%2B5y%29%28%282x%29%5E2-%282x%29%285y%29%2B%285y%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%2B5y%29%284x%5E2-10xy%2B25y%5E2%29 Multiply

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Answer:

So 8x%5E3%2B125y%5E3 factors to %282x%2B5y%29%284x%5E2-10xy%2B25y%5E2%29.

In other words, 8x%5E3%2B125y%5E3=%282x%2B5y%29%284x%5E2-10xy%2B25y%5E2%29