Chapter 11: Q3. (page 731)

Find each product or quotient.
$\frac{(x + 6) (x - 2)}{x^{3}} \cdot \frac{7 x^{2}}{x - 3}$

Short Answer

Expert verified

$\frac{7 x^{2} + 28 x - 84}{x^{2} - 3 x}$

Step by step solution

Step 1. Multiplying rational expression.

Let $x, y, z$ and $w$ be polynomials with $y, w \neq 0$ , then, $\frac{x}{y} \cdot \frac{z}{w} = \frac{x z}{y w}$ .

Step 2. Divide.

Divide by the common factors before multiplying.

$\frac{(x + 6) (x - 2)}{x^{3}} \cdot \frac{7 x^{2}}{(x - 3)} = \frac{7 (x + 6) (x - 2)}{x (x - 3)}$

Step 3. Simplify.

Simplify the above obtained expression.

$\frac{7 x^{2} - 14 x + 42 x - 84}{x^{2} - 3 x} = \frac{7 x^{2} + 28 x - 84}{x^{2} - 3 x}$

The product of given expression is $\frac{7 x^{2} + 28 x - 84}{x^{2} - 3 x}$ .

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Find each product or quotient.
$\frac{(x + 6) (x - 2)}{x^{3}} \cdot \frac{7 x^{2}}{x - 3}$

Short Answer

Step by step solution

Step 1. Multiplying rational expression.

Step 2. Divide.

Step 3. Simplify.

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Find each product or quotient.x+6x−2x3⋅7x2x−3

Short Answer

Step by step solution

Step 1. Multiplying rational expression.

Step 2. Divide.

Step 3. Simplify.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Calculus

Discrete Mathematics

Pure Maths

Geometry

Statistics

Study anywhere. Anytime. Across all devices.

Find each product or quotient.
$\frac{(x + 6) (x - 2)}{x^{3}} \cdot \frac{7 x^{2}}{x - 3}$