# The simplified value of the expression ( x − 3 ) 3 .

### 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 42E
To determine

## To calculate: The simplified value of the expression (x−3)3 .

Expert Solution

The value of the expression (x3)3 is x39x2+27x27 .

### Explanation of Solution

Given information:

The expression (x3)3 .

Formula used:

The special product formula of perfect cube to multiply the algebraic expressions is mathematically expressed as,

(AB)3=A33AB(AB)B3

Calculation:

Consider the given expression (x3)3 .

Recall the special product formula of perfect cube to multiply the algebraic expressions is mathematically expressed as,

(AB)3=A33AB(AB)B3

Apply it,

(x3)3=(x)33(x)(3)(x3)(3)3=x39x(x3)27=x39x2+27x27

Thus, the value of the expression (x3)3 is x39x2+27x27 .

### 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!