Answer
$\frac{1}{x+1}$, where $x\ne1$
Work Step by Step
Multiply by the reciprocal and factor
$$\frac{x^2+10x-11}{x^2+12x+11}\div(x-1) = \frac{(x+11)(x-1)}{(x+11)(x+1)}\times\frac{1}{x-1}$$
Cancel the common factors $(x-1)$ and $(x+11)$
Algebra 1
by Hall, Prentice
Published by
Prentice Hall
ISBN 10:
0133500403
ISBN 13:
978-0-13350-040-0
Chapter 11 - Rational Expressions and Functions - 11-2 Multiplying and Dividing Rational Expressions - Practice and Problem-Solving Exercises - Page 662: 40
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