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: 45

Answer

$\frac{a+2}{2(a+3)}$

Work Step by Step

Step 1: $\frac{3a}{2a+6}-\frac{a-1}{a+3}$ Step 2: $\frac{3a\times1}{(2a+6)\times1}-\frac{(a-1)\times2}{(a+3)\times2}$ Step 3: $\frac{3a}{2a+6} -\frac{2(a-1)}{2(a+3)}$ Step 4: $\frac{3a}{2a+6} -\frac{(2a-2)}{2a+6}$ Step 5: $\frac{3a-(2a-2)}{2a+6}$ Step 6: $\frac{a+2}{2a+6}$ Step 7: $\frac{a+2}{2(a+3)}$
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