# The factors of the expression 9 a 2 − 16 .

### 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 75E
To determine

## To calculate: The factors of the expression 9a2−16 .

Expert Solution

The factors of the expression 9a216 are 3a+4 and 3a4 .

### Explanation of Solution

Given information:

The expression 9a216 .

Formula used:

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

A2B2=(A+B)(AB)

Calculation:

Consider the given expression 9a216 .

Rewrite it as,

9a216=(3a)2(4)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=3a and B=4 .

9a216=(3a)2(4)2=(3a+4)(3a4)

Thus, the factors of expression 9a216 are 3a+4 and 3a4 .

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