# The simplified value of the expression ( x + 5 ) ( x − 5 ) .

### 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 35E
To determine

## To calculate: The simplified value of the expression (x+5)(x−5) .

Expert Solution

The value of the expression (x+5)(x5) is x225 .

### Explanation of Solution

Given information:

The expression (x+5)(x5) .

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 (x+5)(x5) .

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

(A+B)(AB)=A2B2

Apply it,

(x+5)(x5)=(x)2(5)2=x225

Thus, the value of the expression (x+5)(x5) is x225 .

### Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!