Explain why a sum of odd powers is factorable, but not a sum of even powers.



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Posted on (Answer #1)






No common factor.





In this expression there is common factor (x+y)


`` Thus we can explain this

1. If it is  even power i.e. `y^(2m)=(-y)^(2m)`

2. If it is  odd power  i.e. `y^(2m+1)!=(-y)^(2m+1)`

This is the reason why sum of even powers not factorable.

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