SOLUTION: 8x cubed minus 125y cubed

Algebra ->  Exponents -> SOLUTION: 8x cubed minus 125y cubed      Log On


   



Question 214313: 8x cubed minus 125y cubed
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify?:
8x%5E3-125y%5E3 Do you recognize this as the difference of two cubes?
%282x%29%5E2-%285y%29%5E3
The difference of two cubes can be factored thus:
A%5E3-B%5E3+=+%28A-B%29%28A%5E2%2BAB%2BB%5E2%29 so...
%282x%29%5E3-%285y%29%5E3+=+%282x-5y%29%284x%5E2%2B10xy%2B25y%5E2%29