College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter R - Section R.7 - Rational Expressions - R.7 Assess Your Understanding - Page 71: 42

Answer

$\dfrac{3x-1}{3x+2}; x \ne -\frac{2}{3}$

Work Step by Step

The expressions are similar so add the numerators and copy the denominator to obtain: $=\dfrac{2x-5+x+4}{3x+2} \\=\dfrac{3x-1}{3x+2}; x \ne -\frac{2}{3}$ ($x$ cannot be $-\dfrac{2}{3}$ as it makes the expression undefined.)
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