Question 1170707
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To get the asymptotes equations, REPLACE the "1" in the right side by "0"


    x^2 - y^2 = 0


and factor the left side


    (x-y)*(x+y) = 0.


The equations  

    x - y = 0

and

    x + y = 0

are the equation's of the asymptotes, in this case.
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Solved, answered and explained.