Answer
$(y^{2}+1)(y-1)$
Work Step by Step
$y^{3}-y^{2}+y-1=y^{2}(y-1)+1(y-1)=(y^{2}+1)(y-1)$
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter P, Prerequisites - Section P.6 - Factoring - P.6 Exercises - Page 43: 96
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