# The factor of the expression 3 x 3 − 27 x .

### 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 116E
To determine

## To calculate: The factor of the expression 3x3−27x .

Expert Solution

The factor of the expression 3x327x is 3x(x+3)(x3) .

### Explanation of Solution

Given information:

The expression 3x327x .

Formula used:

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

A2B2=(A+B)(AB)

Calculation:

Consider the given expression 3x327x .

The common factor of these terms is 3x , so, rewrite it as,

3x327x=3x(x29)=3x((x)2(3)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 and B=3 .

3x327x=3x((x)2(3)2)=3x(x+3)(x3)

Thus, the factor of expression 3x327x is 3x(x+3)(x3) .

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