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: 54

Answer

$\dfrac{x^{2}-16}{x^{2}-8x+16}=\dfrac{x+4}{x-4}$

Work Step by Step

$\dfrac{x^{2}-16}{x^{2}-8x+16}$ Factor the numerator: $\dfrac{x^{2}-16}{x^{2}-8x+16}=\dfrac{(x-4)(x+4)}{x^{2}-8x+16}=...$ Factor the perfect square trinomial in the denominator. Then, simplify: $...=\dfrac{(x-4)(x+4)}{(x-4)^{2}}=\dfrac{x+4}{x-4}$
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