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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 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 $b = \pm 4 .$

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.

$b^{2} - 16 = 0 b^{2} = 16 b = \pm 4$

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

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Most popular questions from this chapter

Simplify the rational expression $\frac{8 n - 96}{3 n - 36}$ .

In the following exercises, multiply the rational expressions. $\frac{72 m - 12 m^{2}}{8 m + 32} . \frac{m^{2} + 10 m + 24}{m^{2} - 36}$

In the following exercise, perform the indicated operation:

$\frac{3}{2 x^{2} + 5 x + 2} - \frac{1}{2 x^{2} + 3 x + 1}$

Solve the proportion $\frac{x}{56} = \frac{7}{8}$ .

In the following exercises, Divide the rational expression

$\frac{2 y^{2} - 10 y z - 48 z^{2}}{2 y - 1} \div (4 y^{2} - 32 y z)$

See all solutions

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