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 - 11-4 Adding and Subtracting Rational Expressions - Practice and Problem-Solving Exercises - Page 688: 30



Work Step by Step

Given : $\frac{9}{m+2} + \frac{8}{m-7}$ This becomes : $\frac{9(m-7)}{(m+2)(m-7)} + \frac{8(m+2)}{(m+2)(m-7)}$ (Finding the least common denominator) $= \frac{9(m-7)+8(m+2)}{(m+2)(m-7)}$ $= \frac{9m-63+8m+16}{(m+2)(m-7)}$ $= \frac{17m-47}{(m+2)(m-7)}$
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