SOLUTION: How do I factorise a^6+b^6

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Question 979043: How do I factorise a^6+b^6
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
One of the "special products" you were taught about,
along with A%5E2-B%5E2=%28A-B%29%28A%2BB%29 , is
A%5E3%2BB%5E3=%28A%2BB%29%28A%5E2-AB%2BB%5E2%29 ,
and that is the same as a%5E6%2Bb%5E6=%28a%5E2%29%5E2%2B%28b%5E2%29%5E2 ,
with system%28A=a%5E2%2CB=b%5E2%29 .
So, highlight%28a%5E6%2Bb%5E6=%28a%5E2%2Bb%5E2%29%28a%5E4-a%5E2b%5E2%2Bb%5E4%29%29 .
That is the "full factorization" ,
because a%5E2%2Bb%5E2 cannot be factorized,
and neither can a%5E4-a%5E2b%5E2%2Bb%5E4 .