SOLUTION: is there a short cut in solving the result of 125 cubed minus 125 squared. my grandson was in a math contest and someone solved the problem almost instantly. How is that done?

Algebra ->  Square-cubic-other-roots -> SOLUTION: is there a short cut in solving the result of 125 cubed minus 125 squared. my grandson was in a math contest and someone solved the problem almost instantly. How is that done?      Log On


   



Question 571740: is there a short cut in solving the result of 125 cubed minus 125 squared. my grandson was in a math contest and someone solved the problem almost instantly.
How is that done?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
is there a short cut in solving the result of 125 cubed minus 125 squared. my grandson was in a math contest and someone solved the problem almost instantly.
How is that done?
-----------------------
125%5E3+-+125%5E2+=+125%5E2%2A%28125+-+1%29
= 15625*124
= 62500*31
--------------
Or
= 5%5E9+-+5%5E6+=+1953125+-+15625
I could do it either way