Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 8 Rational Functions - 8.4 Multiply and Divide Rational Expressions - 8.4 Exercises - Skill Practice - Page 578: 39



Work Step by Step

We first recall that dividing is the same as multiplying by the inverse. Using the rules of exponents and cancelling common factors in the numerator and the denominator, we find: $$\frac{\frac{x^2-4x-5}{x+5}}{x^2+6x+5}\\ \frac{x^2-4x-5}{\left(x+5\right)\left(x^2+6x+5\right)}\\ \frac{\left(x+1\right)\left(x-5\right)}{\left(x+5\right)^2\left(x+1\right)}\\ \frac{x-5}{\left(x+5\right)^2}$$
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