Answer
$(x-1)(x-3)$
Work Step by Step
Factor out $(x-1)$.
$(x-1)^2-2(x-1)=(x-1)[(x-1)-2]$
Simplify.
$=(x-1)(x-1-2)$
$=(x-1)(x-3)$
Hence, the completely factored form of the given expression is $(x-1)(x-3)$.
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