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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 7: Q. 391 (page 737)

Divide $\frac{11 + w}{w - 9} \div \frac{121 - w^{2}}{9 - w}$

Short Answer

Expert verified

The value of the expression is $\frac{22}{5} .$

Step by step solution

01

Step 1. Given data

Given that the expression is $\frac{11 + w}{w - 9} \div \frac{121 - w^{2}}{9 - w}$ and taken as $\frac{q^{2} - 5}{q + 3} .$

02

Step 2. Simplification

On substituting,

$= \frac{7^{2} - 5}{7 + 3} = \frac{44}{10} = \frac{22}{5}$

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