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x |--> 4*x^3 - 8*x
x |--> 12*x^2 - 8
[x == -sqrt(2), x == sqrt(2), x == 0]
[x == -1/3*sqrt(2)*sqrt(3), x == 1/3*sqrt(2)*sqrt(3)]
-8*x/(x^2 - 1)^2
32*x^2/(x^2 - 1)^3 - 8/(x^2 - 1)^2
[x == -sqrt(2), x == sqrt(2), x == 0]
[x == -1/3*I*sqrt(3), x == 1/3*I*sqrt(3)]