SOLUTION: 1-125a^3

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Question 577374: 1-125a^3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming you want to factor this



1-125a%5E3 Start with the given expression.


%281%29%5E3-%285a%29%5E3 Rewrite 1 as %281%29%5E3. Rewrite 125a%5E3 as %285a%29%5E3.


%281-5a%29%28%281%29%5E2%2B%281%29%285a%29%2B%285a%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


%281-5a%29%281%2B5a%2B25a%5E2%29 Multiply

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Answer:
So 1-125a%5E3 factors to %281-5a%29%281%2B5a%2B25a%5E2%29.

In other words, 1-125a%5E3=%281-5a%29%281%2B5a%2B25a%5E2%29