Chapter 1: Q28. (page 45)

Use the Distributive Property to rewrite each expression. Then simplify.
$- 3 (2 x - 6)$

Short Answer

Expert verified

The simplified form of $- 3 (2 x - 6)$ is $- 6 x + 18$ .

Step by step solution

Step 1. Use the distributive property.

The distributive law of multiplication over addition or subtraction states that, $a (b \pm c) = a b \pm a c$ .

So, the values of $a, b, and c$ should be as follows:

$\begin{array}{l} a = - 3 \\ b = 2 x \\ c = 6 \end{array}$

Step 2. Rewrite the expression.

Use the distributive property to expand the expression further as shown below:

$-3 (2 x - 6) = (- 3) 2 x - (- 3) 6$

Step 3. Evaluate the expression.

To simplify further, multiply the numbers and solve further as shown below:

$\begin{array}{l} - 3 (2 x - 6) = (-3) 2x- (-3) 6 [M u l t i p l y] \\ = - 6 x - (- 18) \\ = - 6 x + 18 \end{array}$

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Use the Distributive Property to rewrite each expression. Then simplify.
$- 3 (2 x - 6)$

Short Answer

Step by step solution

Step 1. Use the distributive property.

Step 2. Rewrite the expression.

Step 3. Evaluate the expression.

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Use the Distributive Property to rewrite each expression. Then simplify.-3(2x-6)

Short Answer

Step by step solution

Step 1. Use the distributive property.

Step 2. Rewrite the expression.

Step 3. Evaluate the expression.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Logic and Functions

Calculus

Decision Maths

Theoretical and Mathematical Physics

Pure Maths

Study anywhere. Anytime. Across all devices.

Use the Distributive Property to rewrite each expression. Then simplify.
$- 3 (2 x - 6)$