# The factors of the expression ( x + 3 ) 2 − 4 .

### 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 76E
To determine

## To calculate: The factors of the expression (x+3)2−4 .

Expert Solution

The factors of the expression (x+3)24 are x+5 and x+1 .

### Explanation of Solution

Given information:

The expression (x+3)24 .

Formula used:

The special factoring formula of difference of squares which is expressed as,

A2B2=(A+B)(AB)

Calculation:

Consider the given expression (x+3)24 .

Rewrite it as,

(x+3)24=(x+3)2(2)2

Recall the special factoring formula of difference of squares which is expressed as,

A2B2=(A+B)(AB)

Here, the values of A and B are A=(x+3) and B=2 .

(x+3)24=(x+3+2)(x+32)=(x+5)(x+1)

Thus, the factors of expression (x+3)24 are x+5 and x+1 .

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