Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 0 - Section 0.4 - Rational Expressions - Exercises - Page 23: 1

Answer

$\displaystyle \frac{2x^{2}+9x+1}{x^{2}-1}$

Work Step by Step

... Nothing (no common factors) to reduce... Numerator: $(x+4)(2x+1)=$...FOIL...$=2x^{2}+x+8x+4$ $=2x^{2}+9x+1$ denominator: $(x+1)(x-1)$= difference of squares = $x^{2}-1$ Answer: $\displaystyle \frac{2x^{2}+9x+1}{x^{2}-1}$
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