Check if $$xρy \iff (x^2-y^2)(x^2y^2 - 1) = 1$$ is an equivalence relation.
I know that for it to be an equivalence relation, a relation must have these properties: reflexivity, symmetry and transitivity.
For reflexivity, I tried proving that the left side equals 1, but I failed.
Can someone help me? I really have no idea how these are done.