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 - 7.2 Simplifying Rational Expressions - 7.2 Exercises: 40

Answer

The expression for the missing side $ = 10x-3$.

Work Step by Step

Let $y = $ the expression for the missing side $(4x-7)y = 40x^{2}-82x+21$ $y = \frac{40x^{2}-82x+21}{4x-7}$ $= \frac{40x^{2}-70x-12x+21}{4x-7}$ $= \frac{10x(4x-7)-3(4x-7)}{4x-7}$ $= \frac{(10x-3)(4x-7)}{4x-7}$ $= \frac{(10x-3)}{1}$ $y = 10x-3$
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