# The expression 1 x 2 + 3 x + 2 − 1 x 2 − 2 x − 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 1.4, Problem 57E
To determine

## To calculate: The expression 1x2+3x+2−1x2−2x−3

Expert Solution

1x2+3x+21x22x3=5(x+2)(x+1)(x3)

### Explanation of Solution

Given information:

Given expression is 1x2+3x+21x22x3

Consider the expression as 1x2+3x+21x22x3

This expression can re- written as,

1x2+3x+21x22x3=1x2+2x+x+21x23x+x3=1(x+2)(x+1)1(x3)(x+1)

Take L.C.M.,

1(x+2)(x+1)1(x3)(x+1)=(x3)(x+2)(x+2)(x+1)(x3)=x3x2(x+2)(x+1)(x3)=5(x+2)(x+1)(x3)

Therefore, 1x2+3x+21x22x3=5(x+2)(x+1)(x3)

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