Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter R - Review of Basic Concepts - R.5 Rational Expressions - R.5 Exercises: 42

Answer

$\color{blue}{\dfrac{x-4}{x-5}}$

Work Step by Step

$\require{cancel} \\=\dfrac{(x+5)(x-3)}{(x+5)(x+6)} \cdot \dfrac{(x+6)(x-4)}{(x-5)(x-3)} \\=\dfrac{\cancel{(x+5)}\cancel{(x-3)}}{\cancel{(x+5)}\cancel{(x+6)}} \cdot \dfrac{c\cancel{(x+6)}(x-4)}{(x-5)\cancel{(x-3)}} \\=\color{blue}{\dfrac{x-4}{x-5}}$
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