Answer
$-\frac{1}{(1+x)(1+x+h)}$
Work Step by Step
We multiply by $(1+x)(1+x+h)$ to simplify the fractions:
$\displaystyle \frac{\frac{1}{1+x+h}-\frac{1}{1+x}}{h}=\frac{(1+x)-(1+x+h)}{h(1+x)(1+x+h)}=-\frac{1}{(1+x)(1+x+h)}$
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter P, Prerequisites - Section P.7 - Rational Expressions - P.7 Exercises - Page 51: 73
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