Х^3-3х^2+3х-1=0
(Х^3-1)-(3х^2-3х)=0
(Х-1)(х^2+х+1)-3х(х-1)=0
(Х-1)(х^2+х+1-3х)=0
(Х+1)(х^2-2х+1)=0
Х+1=0 ; х^2-2х+1=0
Х=-1 ; (x-1)^2=0
X-1=0
X=1
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Х^3-3х^2+3х-1=0
(Х^3-1)-(3х^2-3х)=0
(Х-1)(х^2+х+1)-3х(х-1)=0
(Х-1)(х^2+х+1-3х)=0
(Х+1)(х^2-2х+1)=0
Х+1=0 ; х^2-2х+1=0
Х=-1 ; (x-1)^2=0
X-1=0
X=1