SOLUTION: 27y^3-125x^3

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Question 607182: 27y^3-125x^3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

27y%5E3-125x%5E3 Start with the given expression.


%283y%29%5E3-%285x%29%5E3 Rewrite 27y%5E3 as %283y%29%5E3. Rewrite 125x%5E3 as %285x%29%5E3.


%283y-5x%29%28%283y%29%5E2%2B%283y%29%285x%29%2B%285x%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


%283y-5x%29%289y%5E2%2B15xy%2B25x%5E2%29 Multiply

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Answer:
So 27y%5E3-125x%5E3 factors to %283y-5x%29%289y%5E2%2B15xy%2B25x%5E2%29.

In other words, 27y%5E3-125x%5E3=%283y-5x%29%289y%5E2%2B15xy%2B25x%5E2%29
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