Answer
$(x-1)^{3/2}(x-2)(x)$
Work Step by Step
$(x-1)^{7/2}-(x-1)^{3/2}=(x-1)^{3/2}[(x-1)^{2}-1]=(x-1)^{3/2}[(x-1)-1][(x-1)+1]=(x-1)^{3/2}(x-2)(x)$
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 42: 56
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