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

1 Answer

aruv's profile pic

aruv | High School Teacher | (Level 2) Valedictorian

Posted on






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.