a^4 + b^4

Did you know that

a^4 + b^4 = (a^2 + ab sqrt2 + b^2) (a^2 – ab sqrt2 + b^2)

 
 
sqrt
sqr
 
cube
cube

4 th

5 th
5 th

6 th
6 th

7 th
7 th

n th
n th

http://en.wikipedia.org/wiki/Factorization
 
 
a^4 + 4 b^4 = (a^2 + 2 b^2)^2 – (2ab)^2
 
 
 

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About benvitalis

math grad - Interest: Number theory
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