# The property of the real numbers being used, ( a + b ) ( a − b ) = ( a − b ) ( a + 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 2RE
To determine

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

Expert Solution

Commutative property of multiplicity is used in the expression.

### Explanation of Solution

Given information:

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

The commutative property is a property in which, ab=ba .it means when we multiply two numbers as, , ab ,and then we add ba and equate these both are equal by this property.

It is like two constants are multiplyed and they are equal the the commutative property is there.

As the two numbers are multiply, order doesn’t matter.

For example: 43=3412=12

Apply the property , ab=ba

Rewrite the expression as,

(a+b)(ab)=(ab)(a+b)a2ab+bab2=a2+abbab20=0 .

The above expression is satisfied to the commutative property.

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