SOLUTION: Factor 8y^3-125

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Question 549842: Factor 8y^3-125
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

8y%5E3-125 Start with the given expression.


%282y%29%5E3-%285%29%5E3 Rewrite 8y%5E3 as %282y%29%5E3. Rewrite 125 as %285%29%5E3.


%282y-5%29%28%282y%29%5E2%2B%282y%29%285%29%2B%285%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


%282y-5%29%284y%5E2%2B10y%2B25%29 Multiply

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Answer:
So 8y%5E3-125 factors to %282y-5%29%284y%5E2%2B10y%2B25%29.

In other words, 8y%5E3-125=%282y-5%29%284y%5E2%2B10y%2B25%29