Answer
$\frac{x^2+x+1}{x-2}$
Work Step by Step
$(x-3)\frac{x^2+x+1}{x^2-5x+6}=\frac{(x-3)}{1}*\frac{x^2+x+1}{(x-3)(x-2)}=\frac{x^2+x+1}{x-2}$
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: 63
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