Answer
$(x-1)(x^2+2)$
Work Step by Step
Using factoring by grouping, the given expression, $
x^3-x^2+2x-2
,$ is equivalent to
\begin{array}{l}\require{cancel}
(x^3-x^2)+(2x-2)
\\\\=
x^2(x-1)+2(x-1)
\\\\=
(x-1)(x^2+2)
.\end{array}
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