Chapter 8: Q. 293 (page 967)

Simplify
In the following exercises, use either method.
$\frac{\frac{2}{a + 4}}{\frac{1}{a^{2} - 16}}$

Short Answer

Expert verified

$\frac{\frac{2}{a + 4}}{\frac{1}{a^{2} - 16}} = 2 (a - 4)$

Step by step solution

Step 1. Given information

We have been given a complex rational expression $\frac{\frac{2}{a + 4}}{\frac{1}{a^{2} - 16}}$ .

We have to simplify it.

Step 2. Write the complex rational expression as a division problem. Multiply the first times by the reciprocal of the second.

$\frac{\frac{2}{a + 4}}{\frac{1}{a^{2} - 16}} = \frac{2}{a + 4} \times \frac{a^{2} - 16}{1}$

Step 3. Simplify

$\frac{2}{a + 4} \times \frac{a^{2} - 16}{1} = \frac{2}{a + 4} \times \frac{a^{2} - 4^{2}}{1} = \frac{2}{a + 4} \times \frac{(a + 4) (a - 4)}{1} = 2 (a - 4)$

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Simplify
In the following exercises, use either method.
$\frac{\frac{2}{a + 4}}{\frac{1}{a^{2} - 16}}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Write the complex rational expression as a division problem. Multiply the first times by the reciprocal of the second.

Step 3. Simplify

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SimplifyIn the following exercises, use either method.2a+41a2−16

Short Answer

Step by step solution

Step 1. Given information

Step 2. Write the complex rational expression as a division problem. Multiply the first times by the reciprocal of the second.

Step 3. Simplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

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Study anywhere. Anytime. Across all devices.

Simplify
In the following exercises, use either method.
$\frac{\frac{2}{a + 4}}{\frac{1}{a^{2} - 16}}$