# To state: the property of real numbers used in the given relation.

### 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 12E
To determine

## To state: the property of real numbers used in the given relation.

Expert Solution

Distributiveproperty over multiplication of real numbers.

### Explanation of Solution

Given information:

A relation is given as

(x+a)(x+b)=(x+a)x+(x+a)b

Calculation:

Distributiveproperty over multiplication of real numbers:

Suppose a, b, c, andd arefour real numbers, Distributive property over multiplicationsays that

(a+b)(c+d)=(a+b)c+(a+b)d

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

Therefore, in (x+a)(x+b)=(x+a)x+(x+a)b , Distributive property over multiplication of real numbers has been used.

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