# To simplify the expression 4 ( x 2 − 1 ) 12 ( x + 2 ) ( x − 1 ) .

### 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 14E
To determine

## To simplify the expression 4(x2−1)12(x+2)(x−1) .

Expert Solution

The value of the given expression is (x+1)3(x+2) .

### Explanation of Solution

Given information:

The given expression is provided below

4(x21)12(x+2)(x1)

Formula used:

The termwill be cancelled out if the numerator and denominator term will be same.

Calculation:

Consider the expression as 4(x21)12(x+2)(x1)

Recall that the term will be cancelled out if the numerator and denominator term will be same.

4(x21)12(x+2)(x1)(x+1)3(x+2)

Therefore, the simplified form of the given expression is (x+1)3(x+2)

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