Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 7 - Section 7.1 - Simplifying Rational Expressions - Practice: 4

Answer

$\frac{(x+9)}{(x-1)}$

Work Step by Step

$\frac{x^2+11x+18}{x^2+x-2} = \frac{x^2+9x+2x+18}{x^2-x+2x-2} = \frac{x(x+9)+2(x+9)}{x(x-1)+2(x-1)} = \frac{(x+9)(x+2)}{(x+2)(x-1)} = \frac{(x+9)}{(x-1)}$
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