# The common factor of which part is cancelled to get the simplified expression and simplified form of given expression.

### 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 2E
To determine

## To fill: The common factor of which part is cancelled to get the simplified expression and simplified form of given expression.

Expert Solution

The common factor of numerator and denominator is cancelled to get simplified expression and simplified form is (x+1)(x+3) .

### Explanation of Solution

Factor both numerator and denominator to get the simplified rational expression.

ACBC=AB

Cancel the common factors of numerator and denominator.

The given rational expression is,

(x+1)(x+2)(x+3)(x+2)

The common factor of both numerator and denominator is (x+2) . Cancel common factor.

(x+1)(x+2)(x+3)(x+2)=(x+1)(x+3)

Thus, the common factor of numerator and denominator is cancelled to get simplified expression and simplified form is (x+1)(x+3) .

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