SOLUTION: Please help me solve this problem (((X^2n+2x^n y^n+y^2n))) (((X^2n-2x^n y^n+y^2n))).I really appreciate any kind of help in solving.

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Question 47089: Please help me solve this problem (((X^2n+2x^n y^n+y^2n))) (((X^2n-2x^n y^n+y^2n))).I really appreciate any kind of help in solving.
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!

note that
and
now say and
now

multiplying out, I get

now transform back


answer
you can do a check by saying
n = 1
x = 2
y = 3
then






checks OK


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