Chapter 7: Q. 50 (page 652)

In the following exercises, Divide the rational expression
$\frac{2 y^{2} - 10 y z - 48 z^{2}}{2 y - 1} \div (4 y^{2} - 32 y z)$

Short Answer

Expert verified

The simplified expression is $\frac{2 (y + 3 z)}{2 y (2 y - 1)}$

Step by step solution

Step 1. Given Information

$\frac{2 y^{2} - 10 y z - 48 z^{2}}{2 y - 1} \div (4 y^{2} - 32 y z) = \frac{2 y^{2} - 10 y z - 48 z^{2}}{2 y - 1} \times \frac{1}{(4 y^{2} - 32 y z)}$

Step 2. Factor the numerator and denominators

$= \frac{2 (y + 3 z) (y - 8 z)}{2 y - 1} \times \frac{1}{4 y (y - 8 z)} = \frac{2 (y + 3 z) (y - 8 z)}{4 y (2 y - 1) (y - 8 z)}$

Step 3. Remove the common factors

$= \frac{2 (y + 3 z)}{2 y (2 y - 1)}$

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In the following exercises, Divide the rational expression
$\frac{2 y^{2} - 10 y z - 48 z^{2}}{2 y - 1} \div (4 y^{2} - 32 y z)$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Factor the numerator and denominators

Step 3. Remove the common factors

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In the following exercises, Divide the rational expression2y2-10yz-48z22y-1÷4y2-32yz

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Factor the numerator and denominators

Step 3. Remove the common factors

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Decision Maths

Discrete Mathematics

Statistics

Geometry

Calculus

Study anywhere. Anytime. Across all devices.

In the following exercises, Divide the rational expression
$\frac{2 y^{2} - 10 y z - 48 z^{2}}{2 y - 1} \div (4 y^{2} - 32 y z)$