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D( x )
x^2-1 = 0
x^2-1 = 0
x^2-1 = 0
1*x^2 = 1 // : 1
x^2 = 1
x^2 = 1 // ^ 1/2
abs(x) = 1
x = 1 or x = -1
x in (-oo:-1) U (-1:1) U (1:+oo)
(x^3)/(x^2-1)-(x^2*((x^3)/(x^2-1)))+x^3 = 0
(x^3)/(x^2-1)-(x^5*(x^2-1)^-1)+x^3 = 0
(-1*x^5)/(x^2-1)+(x^3)/(x^2-1)+x^3 = 0
(-1*x^5)/(x^2-1)+(x^3)/(x^2-1)+(x^3*(x^2-1))/(x^2-1) = 0
x^3*(x^2-1)-1*x^5+x^3 = 0
x^5-x^5+x^3-x^3 = 0
0 = 0
0/(x^2-1) = 0
0/(x^2-1) = 0 // * x^2-1
0 = 0
x belongs to the empty set
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