# The simplified value of the expression ( 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 1.3, Problem 55E
To determine

## To calculate: The simplified value of the expression (a−b)(a+b) .

Expert Solution

The value of the expression (ab)(a+b) is ab2 .

### Explanation of Solution

Given information:

The expression (ab)(a+b) .

Formula used:

The special product formula of difference of squares to multiply the algebraic expressions is mathematically expressed as,

(A+B)(AB)=A2B2

Calculation:

Consider the given expression (ab)(a+b) .

Recall the special product formula of difference of squares to multiply the algebraic expressions is mathematically expressed as,

(A+B)(AB)=A2B2

Here, A=a and B=b .

Apply it,

(ab)(a+b)=(a)2(b)2=ab2

Thus, the value of the expression (ab)(a+b) is ab2 .

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