College Algebra 7th Edition

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



Work Step by Step

We multiply by $(1+x)(1+x+h)$ to simplify the fractions: $\displaystyle \frac{\frac{1}{1+x+h}-\frac{1}{1+x}}{h}=\frac{(1+x)-(1+x+h)}{h(1+x)(1+x+h)}=-\frac{1}{(1+x)(1+x+h)}$
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