SOLUTION: I need to factor 125-x^3 would that be (5-x)^3?

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Question 778521: I need to factor 125-x^3
would that be (5-x)^3?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

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


%285%29%5E3-%28x%29%5E3 Rewrite 125 as %285%29%5E3. Rewrite x%5E3 as %28x%29%5E3.


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


%285-x%29%2825%2B5x%2Bx%5E2%29 Multiply

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Answer:
So 125-x%5E3 factors to %285-x%29%2825%2B5x%2Bx%5E2%29.

In other words, 125-x%5E3=%285-x%29%2825%2B5x%2Bx%5E2%29