Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 7 - Section 7.4 - Adding and Subtracting Rational Expressions with Different Denominators - Exercise Set: 42

Answer

$\dfrac{5}{(x+1)(x+5)}-\dfrac{2}{(x+5)^{2}}=\dfrac{3x+23}{(x+5)^{2}(x+1)}$

Work Step by Step

$\dfrac{5}{(x+1)(x+5)}-\dfrac{2}{(x+5)^{2}}$ Evaluate the substraction of the two rational expressions and simplify: $\dfrac{5}{(x+1)(x+5)}-\dfrac{2}{(x+5)^{2}}=\dfrac{5(x+5)-2(x+1)}{(x+5)^{2}(x+1)}=...$ $...=\dfrac{5x+25-2x-2}{(x+5)^{2}(x+1)}=\dfrac{3x+23}{(x+5)^{2}(x+1)}$
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