Chapter 8: Q 8.57. (page 929)

Divide: $\frac{4 m + 4}{3 m - 15} \cdot \frac{m^{2} - 3 m - 10}{m^{2} - 4 m - 32} \div \frac{12 m - 36}{6 m - 48}$ .

Short Answer

Expert verified

The required answer is $\frac{2 (m + 1) (m + 2)}{3 (m + 4) (m - 3)}$ .

Step by step solution

Step 1. Given information.

The given expression is:

$\frac{4 m + 4}{3 m - 15} \cdot \frac{m^{2} - 3 m - 10}{m^{2} - 4 m - 32} \div \frac{12 m - 36}{6 m - 48}$

Step 2. Simplify the expression.

$\frac{4 m + 4}{3 m - 15} \cdot \frac{m^{2} - 3 m - 10}{m^{2} - 4 m - 32} \div \frac{12 m - 36}{6 m - 48}$

Rewrite the division as multiplication by reciprocal,

$\frac{4 m + 4}{3 m - 15} \cdot \frac{m^{2} - 3 m - 10}{m^{2} - 4 m - 32} \cdot \frac{6 m - 48}{12 m - 36}$

Factor the numerators and denominators and then multiply.

$\frac{4 \cdot 6 (m + 1) (m + 2) (m - 5) (m - 8)}{3 \cdot 12 (m - 5) (m + 4) (m - 8) (m - 3)}$

Simplify by dividing out common factors.

$\frac{2 (m + 1) (m + 2)}{3 (m + 4) (m - 3)}$

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Divide: $\frac{4 m + 4}{3 m - 15} \cdot \frac{m^{2} - 3 m - 10}{m^{2} - 4 m - 32} \div \frac{12 m - 36}{6 m - 48}$ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Simplify the expression.

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Divide: 4m+43m-15·m2-3m-10m2-4m-32÷12m-366m-48.

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

Applied Mathematics

Discrete Mathematics

Geometry

Calculus

Theoretical and Mathematical Physics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Divide: $\frac{4 m + 4}{3 m - 15} \cdot \frac{m^{2} - 3 m - 10}{m^{2} - 4 m - 32} \div \frac{12 m - 36}{6 m - 48}$ .