Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 7 - Section 7.1 - Rational Expressions and Their Simplification - Exercise Set: 41

Answer

$\frac{y-1}{y+9}$

Work Step by Step

To simplify, divide both the numerator and denominator by their greatest common factor. Use factorization to find the GCF. $\frac{y^2-3y+2}{y^2+7y-18}=\frac{(y-2)(y-1)}{(y-2)(y+9)}=\frac{(y-2)(y-1)\div(y-2)}{(y-2)(y+9)\div(y-2)}=\frac{y-1}{y+9}$
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