SOLUTION: How do you factor 16x to the 4th power minus 1.

Algebra ->  Exponents -> SOLUTION: How do you factor 16x to the 4th power minus 1.      Log On


   



Question 85991: How do you factor 16x to the 4th power minus 1.
Answer by 303795(602) About Me  (Show Source):
You can put this solution on YOUR website!
16x%5E4+-+1
This is a difference of squares
eg %284x%5E2%29%5E2+-+1%5E2
So factorise it
%284x%5E2-1%29%284x%5E2%2B1%29
The first term is still a difference of squares
eg %28%282x%29%5E2-1%5E2%29%284x%5E2%2B1%29
so factorise it
%282x-1%29%282x%2B1%29%284x%5E2%2B1%29