# To rewrite: the given expression by Properties of real numbers.

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.1, Problem 24E
To determine

## To rewrite: the given expression by Properties of real numbers.

Expert Solution

Using Associative Property and distributive propertyof real numbers the expression can be written as 3ab+3ac6ad .

### Explanation of Solution

Given information:

An expression is given as

3a(b+c2d)

Concept used:

Associative Property of multiplication of real numbers:

If three real numbers are multiplied then the result does not depend on the order of multiplication.

Suppose a, b, and c are three real numbers, Associative Property of multiplication says that

a(bc)=(ab)c

Distributive property over addition of real numbers:

Suppose a ,b, and c are three real numbers, Distributive property says that

a(b+c)=ab+ac

Product of a number with a sum can be changed to sum of products.

Calculation:

Consider the expression and simplify as shown: