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: 43

Answer

$\frac{y-3}{y-2}$

Work Step by Step

To simplify, divide both the numerator and denominator by their greatest common factor. Use factorization to find the GCF. $\frac{2y^2-7y+3}{2y^2-5y+2}=\frac{(2y-1)(y-3)}{(2y-1)(y-2)}=\frac{(2y-1)(y-3)\div(2y-1)}{(2y-1)(y-2)\div(2y-1)}=\frac{y-3}{y-2}$
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