Q.394 In the following exercise, divid... [FREE SOLUTION]

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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.394 (page 735)

In the following exercise, divide.
$\frac{8 a^{2} + 16 a}{a - 4} . \frac{a^{2} + 2 a - 24}{a^{2} + 7 a + 10} 梅 \frac{2 a^{2} - 6 a}{a + 5}$

Short Answer

Expert verified

The simplified expression is

$\frac{4 (a + 6)}{(a - 3)}$

Step by step solution

Step 1. Given information

expression to divide is

$\frac{8 a^{2} + 16 a}{a - 4} . \frac{a^{2} + 2 a - 24}{a^{2} + 7 a + 10} 梅 \frac{2 a^{2} - 6 a}{a + 5}$

Step 2. Rewrite as the product of first times the reciprocal of the second.

$\frac{8 a^{2} + 16 a}{a - 4} . \frac{a^{2} + 2 a - 24}{a^{2} + 7 a + 10} . \frac{a + 5}{2 a^{2} - 6 a}$

Step 3. Factorize the denominator and numerator

$\frac{8 a (a + 2)}{a - 4} . \frac{a^{2} + 6 a - 4 a - 24}{a^{2} + 5 a + 2 a + 10} . \frac{a + 5}{2 a (a - 3)} = \frac{8 a (a + 2)}{a - 4} . \frac{a (a + 6) - 4 (a + 6)}{a (a + 5) + 2 (a + 5)} . \frac{a + 5}{2 a (a - 3)} = \frac{8 a (a + 2)}{a - 4} . \frac{(a - 4) (a + 6)}{(a + 2) (a + 5)} . \frac{a + 5}{2 a (a - 3)}$

Step 4.Multiply and remove common factors

$\frac{8 a (a + 2) (a - 4) (a + 6) (a + 5)}{2 a (a - 4) (a + 2) (a + 5) (a - 3)} = \frac{4 (a + 6)}{a - 3}$

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91影视

In the following exercise, divide.
$\frac{8 a^{2} + 16 a}{a - 4} . \frac{a^{2} + 2 a - 24}{a^{2} + 7 a + 10} 梅 \frac{2 a^{2} - 6 a}{a + 5}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Rewrite as the product of first times the reciprocal of the second.

Step 3. Factorize the denominator and numerator

Step 4.Multiply and remove common factors

One App. One Place for Learning.

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91影视

In the following exercise, divide. 8a2+16aa-4.a2+2a-24a2+7a+10梅2a2-6aa+5

Short Answer

Step by step solution

Step 1. Given information

Step 2. Rewrite as the product of first times the reciprocal of the second.

Step 3. Factorize the denominator and numerator

Step 4.Multiply and remove common factors

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Mechanics Maths

Probability and Statistics

Decision Maths

Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In the following exercise, divide.
$\frac{8 a^{2} + 16 a}{a - 4} . \frac{a^{2} + 2 a - 24}{a^{2} + 7 a + 10} 梅 \frac{2 a^{2} - 6 a}{a + 5}$