( x^2^n - y^2^n )÷ ( x^2^n-1 - y^2^n-1)
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x^2n - y^2n
= -------------------
x^2n-2 - y^2n-2
= 1
-----------------------------------
x^2n-2-2n - y^2n-2-2n
= 1
--------------------------
x^-2 - y^-2
= x^2 - y^2
so the answer is :
x^2 - y^2
I hope that it was helpful.......
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