SOLUTION: I need help with factoring. I can't seem to get it, especially when there is an X first. Please help me. thanks X^3-125

Algebra ->  Expressions-with-variables -> SOLUTION: I need help with factoring. I can't seem to get it, especially when there is an X first. Please help me. thanks X^3-125      Log On


   

Question 75918: I need help with factoring. I can't seem to get it, especially when there is an X first. Please help me. thanks
X^3-125
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor:
x%5E3-125 Do you see this as the difference of two cubes?
%28x%29%5E3-%285%29%5E3
The difference of two cubes can be factored thus:
A%5E3-B%5E3+=+%28A-B%29%28A%5E2%2BAB%2BB%5E2%29 Applying this to your problem, where A = x and b = 5, we get:
%28x-5%29%28x%5E2%2B5x%2B25%29