Q 104. Divide Rational Expressions:聽24... [FREE SOLUTION]

91影视

Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 8: Q 104. (page 930)

Divide Rational Expressions: $\frac{24 b^{2}}{2 b 鈥� 鈭� 鈥� 4} 梅 \frac{12 b^{2} + 36 b}{b^{2} 鈥� 鈭� 鈥� 11 b 鈥� + 鈥� 18}$

Short Answer

Expert verified

The required answer is $\frac{b (b - 9)}{b + 3}$ .

Step by step solution

Step 1. Given information

The given expression is $\frac{24 b^{2}}{2 b 鈥� 鈭� 鈥� 4} 梅 \frac{12 b^{2} + 36 b}{b^{2} 鈥� 鈭� 鈥� 11 b 鈥� + 鈥� 18}$ .

Step 2. Simplify the expression.

$\frac{24 b^{2}}{2 b 鈥� 鈭� 鈥� 4} 梅 \frac{12 b^{2} + 36 b}{b^{2} 鈥� 鈭� 鈥� 11 b 鈥� + 鈥� 18} = \frac{\frac{24 b^{2}}{2 b - 4}}{\frac{12 b^{2} + 36 b}{b^{2} - 11 b + 18}}$

Apply the fraction rule.

$\frac{24 b^{2} (b^{2} - 11 b + 18)}{(2 b - 4) (12 b^{2} + 36 b)} = \frac{2 路鈥� 12 b^{2} (b^{2} - 11 b + 18)}{2 (b - 2) (12 b^{2} + 36 b)} = \frac{12 b^{2} (b - 2) (b - 9)}{(b - 2) (12 b^{2} + 36 b)} = \frac{12 b^{2} (b - 9)}{12 b^{2} + 36 b} = \frac{12 b^{2} (b - 9)}{12 b (b + 3)} = \frac{b^{2} (b - 9)}{b (b + 3)} = \frac{b (b - 9)}{b + 3}$

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91影视

Divide Rational Expressions: $\frac{24 b^{2}}{2 b 鈥� 鈭� 鈥� 4} 梅 \frac{12 b^{2} + 36 b}{b^{2} 鈥� 鈭� 鈥� 11 b 鈥� + 鈥� 18}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplify the expression.

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Divide Rational Expressions:24b22b鈥�鈭�鈥�4梅12b2+36bb2鈥�鈭�鈥�11b鈥�+鈥�18

Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplify the expression.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Calculus

Decision Maths

Applied Mathematics

Pure Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Divide Rational Expressions: $\frac{24 b^{2}}{2 b 鈥� 鈭� 鈥� 4} 梅 \frac{12 b^{2} + 36 b}{b^{2} 鈥� 鈭� 鈥� 11 b 鈥� + 鈥� 18}$