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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 8: Q 62. (page 918)

In the following exercises, simplify each rational expression.
$\frac{20 - 5 y}{y^{2} - 16}$

Short Answer

Expert verified

The result is $- \frac{5}{(y + 4)}$ .

Step by step solution

01

Step 1. Given information.

Consider the given information.

$\frac{20 - 5 y}{y^{2} - 16}$

02

Step 2. Factor the fraction.

Factor the numerator and denominator of the given fraction and remove common factors.

$\begin{array}{l} \frac{20 - 5 y}{y^{2} - 16} = \frac{- 5 (y - 4)}{y^{2} - 4^{2}} \\ = \frac{- 5 (y - 4)}{(y + 4) (y - 4)} \\ = - \frac{5}{(y + 4)} \end{array}$

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