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 - Exercise Set: 46

Answer

$\dfrac{2x^{2}+7x-4}{x^2+3x-4}=\dfrac{2x-1}{x-1}$

Work Step by Step

$\dfrac{2x^{2}+7x-4}{x^2+3x-4}$ Factor the numerator: $\dfrac{2x^{2}+7x-4}{x^2+3x-4}=\dfrac{(x+4)(2x-1)}{x^{2}+3x-4}=...$ Factor the denominator and then, simplify: $...=\dfrac{(x+4)(2x-1)}{(x+4)(x-1)}=\dfrac{2x-1}{x-1}$
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