# Polynomial Division and Rational Expressions

# Adding and Subtracting Rational Expressions Exercises

### Example 1

Do the arithmetic: .

### Example 2

Do the arithmetic: .

### Example 3

Do the arithmetic: .

### Example 4

Do the arithmetic: .

### Example 5

Do the arithmetic: .

### Example 6

For the following pair of rational expressions, (a) find the LCD and (b) for each rational expression, write the equivalent rational expression whose denominator is the LCD from part (a): .

### Example 7

For the following pair of rational expressions, (a) find the LCD and (b) for each rational expression, write the equivalent rational expression whose denominator is the LCD from part (a): .

### Example 8

For the following pair of rational expressions, (a) find the LCD and (b) for each rational expression, write the equivalent rational expression whose denominator is the LCD from part (a):.

### Example 9

For the following pair of rational expressions, (a) find the LCD and (b) for each rational expression, write the equivalent rational expression whose denominator is the LCD from part (a):

.

### Example 10

### Example 11

Do the arithmetic, simplifying each rational expression first, if possible: .

### Example 12

Do the arithmetic, simplifying each rational expression first, if possible:

### Example 13

Do the arithmetic, simplifying each rational expression first, if possible:

### Example 14

Do the arithmetic, simplifying each rational expression first, if possible:

### Example 15

Do the arithmetic, simplifying each rational expression first, if possible: .