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: 48

Answer

$\dfrac{4x^{2}-4x+1}{2x^{2}+9x-5}=\dfrac{2x-1}{x+5}$

Work Step by Step

$\dfrac{4x^{2}-4x+1}{2x^{2}+9x-5}$ Factor the perfect square trinomial in the numerator: $\dfrac{4x^{2}-4x+1}{2x^{2}+9x-5}=\dfrac{(2x-1)(2x-1)}{2x^{2}+9x-5}=...$ Factor the denominator and then, simplify: $...=\dfrac{(2x-1)^{2}}{(x+5)(2x-1)}=\dfrac{2x-1}{x+5}$
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