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: 40

Answer

$\frac{x-6}{4}$

Work Step by Step

To simplify, divide both the numerator and denominator by their greatest common factor. Use the the factorization to find the GCF. $\frac{x^2-12x+36}{4x-24}=\frac{(x-6)(x-6)}{4(x-6)}=\frac{(x-6)(x-6)\div(x-6)}{4(x-6)\div(x-6)}=\frac{x-6}{4}$
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