how do you factor this polynomial?
x^(2k+1) - y^(2k+1)
my teacher's answer is:
[x^2 (x^(2k-1) + y^(2k-1))] + [(y^2 - x^2)y^(2k-1)]
what is the reasoning involved to factor something as complicated as this?
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It's easily to see in this way when you are using induction to prove divisibility.
Hello, oblixps! How do you factor this polynomial? . .
my teacher's answer is: . Wrong! . . . That is not factored!
The difference of two odd powers can always be factored.
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