# The property of the real numbers being used, 4 ( a + b ) = 4 a + 4 b .

### 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, Problem 3RE
To determine

## To describe: The property of the real numbers being used, 4(a+b)=4a+4b .

Expert Solution

Distributive property of addition is used in the expression.

### Explanation of Solution

Given information:

The expression, 4(a+b)=4a+4b

The distributive property is a property in which, a(b+c)=ab+ac .it means when multiply numbers as, , a(b+c) then this number a multiplies to both the numbers ab+ac

It is like a constants is multiplyied to the sum of two numbers then the result is same , ab+ac

As when multiply a number to sum of to numbers. Then the numbers are same as would get if.

For example: 4(2+3)=42+438+12=8+1220=20

Apply the property , , a(b+c)=ab+ac

Rewrite the expression as,

4(a+b)=4a+4b4a+4b=4a+4b0=0 .

The above expression is satisfied the distributive property.

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