Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 11 - Rational Expressions and Functions - 11-2 Multiplying and Dividing Rational Expressions - Practice and Problem-Solving Exercises - Page 674: 40


$\frac{1}{x+1}, with$ $x\ne-1$

Work Step by Step

Given : $\frac{x^{2}+10x-11}{x^{2}+12x+11} \div (x-1)$ This becomes : $\frac{(x-1)(x+11)}{(x+1)(x+11)} \times \frac{1}{x-1}$ $= \frac{(x-1)(x+11)}{(x+1)(x+11)} \times \frac{1}{x-1}= \frac{1}{x+1} $ (After dividing out the common factors (x-1) and (x+11))
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