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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 7: Q. 387 (page 737)

Multiply $\frac{72 x - 12 x^{2}}{8 x + 32} . \frac{x^{2} + 10 x + 24}{x^{2} - 36}$

Short Answer

Expert verified

Simplified solution is $b = 卤 4 .$

Step by step solution

01

Given Information

Given that the expression is $\frac{72 x - 12 x^{2}}{8 x + 32} . \frac{x^{2} + 10 x + 24}{x^{2} - 36}$ and taken as $\frac{b - 3}{b^{2} - 16}$ .

02

Step 2. Simplification

The denominator will be zero when the expression is undefined.

$b^{2} - 16 = 0 b^{2} = 16 b = 卤 4$

The rational function will be undefined if $b = 卤 4 .$

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