(x^3-1)/(x-1)

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Solution for (x^3-1)/(x-1) equation: 


D( x )

x-1 = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:1) U (1:+oo)

(x^3-1)/(x-1) = 0

1*x^3 = 1 // : 1

x^3 = 1

x^3 = 1 // ^ 1/3

x = 1

x in { 1} 

x belongs to the empty set

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