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Explain why a sum of odd powers is factorable, but not a sum of even powers.
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High School Teacher
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.
Posted by aruv on October 4, 2013 at 5:15 AM (Answer #1)
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