SOLUTION: Is there a trick to factoring cubed or higher equations

Algebra ->  Equations -> SOLUTION: Is there a trick to factoring cubed or higher equations      Log On


   

Question 260020: Is there a trick to factoring cubed or higher equations
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
no.
There's no "trick" or procedure for the general case, but some are commonly known.
----------
a^3 + b^3 = (a+b)*(a^2 - ab + b^2)
a^3 - b^3 - (a-b)*(a^2 + ab + b^2)
----------------------------------
The difference of any 2 even powered exponents
(a^2n - b^2n) can be factored.
The sum or difference of any 2 odd powered exponents
a%5E%282n%2B1%29+%2B++b%5E%282n%2B1%29 can be factored.
a%5E%282n%2B1%29+-++b%5E%282n%2B1%29 can be factored.