Answer
$\frac{x-2}{x-1}$
Work Step by Step
The square of a binomial difference is: $(A-B)^2=A^2-2AB+B^2$.
Hence here: $\frac{x^2-2x+1}{x^2-4x+4}\frac{(x-2)^3}{(x-1)^3}=\frac{(x-1)^2}{(x-2)^2}\frac{(x-2)^3}{(x-1)^3}=\frac{x-2}{x-1}$
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 6 - Section 6.1 - Rational Expressions and Functions; Multiplying and Dividing - Exercise Set - Page 414: 58
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