# The Simplify form multiplication or division of the expression, x 2 − 25 x 2 − 16 ⋅ x + 4 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 1.4, Problem 24E
To determine

## To calculate: The Simplify form multiplication or division of the expression,  x2−25x2−16⋅x+4x+5

Expert Solution

The simplified form of the expression is, (x5)(x4)

### Explanation of Solution

Given information:

The expression is given as: x225x216x+4x+5

Formula used:

The algebraic identity: a2b2=(ab)(a+b)

Calculation:

Consider the equation , x225x216x+4x+5

Apply the algebraic identity , a2b2=(ab)(a+b) ,

x225x216x+4x+5=x252x242x+4x+5=(x+5)(x5)(x+4)(x4)x+4x+5=(x5)(x4)

Thus, the given expression is: (x5)(x4)

### 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!