Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 7 - Algebraic Fractions - Chapter 7 Review Problem Set: 12

Answer

$\frac{-a+8}{(a-4)(a-2)}$

Work Step by Step

First, we find a common denominator. This, upon inspection, is found to be $(a-4)(a-2)$. Then, we subtract the two fractions using this common denominator: $\frac{2}{a-4}-\frac{3}{a-2}$ =$\frac{2(a-2)-3(a-4)}{(a-4)(a-2)}$ =$\frac{2a-4-3a+12}{(a-4)(a-2)}$ =$\frac{-a+8}{(a-4)(a-2)}$
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