# The equation of the Adding or substracting rational 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 51E
To determine

## To find: The equation of the Adding or substracting rational expression

Expert Solution

2x+7(x+4)(x+3)

### Explanation of Solution

Given:

The equation is

2x+31x2+7x+12

Concept used:

AC+BC=A+BC

Use the least common denominator (L.C.D)

The product of the distinct factors , using the highest power that appears in any of the factors

Calculation:

Adding or substracting rational expression is

AC+BC=A+BC................(1)

The equation is

2x+31x2+7x+12factor=x2+7x+12=0x2+3x+4x+12=0x(x+3)+4(x+3)=0(x+4)(x+3)=02x+31(x+4)(x+3)2(x+4)1(x+4)(x+3)2x+81(x+4)(x+3)2x+7(x+4)(x+3)

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