# 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 54E
To determine

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

Expert Solution

x26x4(x1)(x+2)(x4)

### Explanation of Solution

Given:

The equation is

xx2+x22x25x+4

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

xx2+x22x25x+4factor=x2+x2=0x2+2xx2=0x(x+2)1(x+2)=0(x1)(x+2)=0factor=x25x+4=0x24xx+4=0x(x4)1(x4)=0(x1)(x4)=0x(x1)(x+2)2(x1)(x4)x(x4)2(x+2)(x1)(x+2)(x4)x24x2x4(x1)(x+2)(x4)x26x4(x1)(x+2)(x4)

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