Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 7 - Rational Functions - Chapter Test - Page 608: 7

Answer

$\frac{8(x - 1)}{(2x - 7)}$

Work Step by Step

To add or subtract rational expressions, we need to make sure that the expressions have the same denominator. The two rational expressions do have the same denominator, so we can proceed to evaluate the expression. Rewrite the two fractions as one with the same denominator: $\frac{(5x) + (3x - 8)}{(2x - 7)}$ Combine like terms in the numerator: $\frac{8x - 8}{(2x - 7)}$ Factor out what is common in the numerator: $\frac{8(x - 1)}{(2x - 7)}$
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