Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 8: Q 106. (page 930)

Divide Rational Expressions: $鈥� 鈥� 鈥� \frac{2 d^{2} 鈥� + 鈥� d 鈥� 鈭� 鈥� 3}{d^{2} 鈥� 鈭� 鈥� 16} 梅 \frac{2 d^{2} 鈥� 鈭� 鈥� 9 d 鈥� 鈭� 鈥� 18}{d^{2} 鈥� 鈭� 鈥� 8 d 鈥� + 鈥� 16}$ .

Short Answer

Expert verified

The required answer is $\frac{(d - 1) (d - 4)}{(d + 4) (d - 6)}$ .

Step by step solution

Step 1. Given information.

The given expression is $\frac{2 d^{2} 鈥� + 鈥� d 鈥� 鈭� 鈥� 3}{d 2 鈥� 鈭� 鈥� 16} 梅 \frac{2 d^{2} 鈥� 鈭� 鈥� 9 d 鈥� 鈭� 鈥� 18}{d^{2} 鈥� 鈭� 鈥� 8 d 鈥� + 鈥� 16}$ .

Step 2. Simplify the expression.

$\frac{2 d^{2} 鈥� + 鈥� d 鈥� 鈭� 鈥� 3}{d 2 鈥� 鈭� 鈥� 16} 梅 \frac{2 d^{2} 鈥� 鈭� 鈥� 9 d 鈥� 鈭� 鈥� 18}{d^{2} 鈥� 鈭� 鈥� 8 d 鈥� + 鈥� 16} = \frac{\frac{2 d^{2} + d - 3}{d^{2} - 16}}{\frac{2 d^{2} - 9 d - 18}{d^{2} - 8 d + 16}}$

Apply the fraction rule.

$\frac{(2 d^{2} + d - 3) (d^{2} - 8 d + 16)}{(d^{2} - 16) (2 d^{2} - 9 d - 18)} = \frac{(d - 1) (2 d + 3) (d^{2} - 8 d + 16)}{(d^{2} - 16) (2 d + 3) (d - 6)} = \frac{(d - 1) {(d - 4)}^{2}}{(d + 4) (d - 4) (d - 6)} = \frac{(d - 1) (d - 4) (d - 4)}{(d + 4) (d - 4) (d - 6)} = \frac{(d - 1) (d - 4)}{(d + 4) (d - 6)}$

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91影视

Divide Rational Expressions: $鈥� 鈥� 鈥� \frac{2 d^{2} 鈥� + 鈥� d 鈥� 鈭� 鈥� 3}{d^{2} 鈥� 鈭� 鈥� 16} 梅 \frac{2 d^{2} 鈥� 鈭� 鈥� 9 d 鈥� 鈭� 鈥� 18}{d^{2} 鈥� 鈭� 鈥� 8 d 鈥� + 鈥� 16}$ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Simplify the expression.

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91影视

Divide Rational Expressions:鈥�鈥�鈥�2d2鈥�+鈥�d鈥�鈭�鈥�3d2鈥�鈭�鈥�16梅2d2鈥�鈭�鈥�9d鈥�鈭�鈥�18d2鈥�鈭�鈥�8d鈥�+鈥�16.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Simplify the expression.

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Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

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Probability and Statistics

Pure Maths

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Study anywhere. Anytime. Across all devices.

Divide Rational Expressions: $鈥� 鈥� 鈥� \frac{2 d^{2} 鈥� + 鈥� d 鈥� 鈭� 鈥� 3}{d^{2} 鈥� 鈭� 鈥� 16} 梅 \frac{2 d^{2} 鈥� 鈭� 鈥� 9 d 鈥� 鈭� 鈥� 18}{d^{2} 鈥� 鈭� 鈥� 8 d 鈥� + 鈥� 16}$ .