1

Adding and Subtracting Rational Expressions 

2

3

4

Recall:When adding / subtracting fractions, always look for LCD

ex. 34

27

ex. 56

37+

5

To Simplify Algebraic Fractions:

1. Factor / Find LCD2. Change fractions to have common denominators3. Add / Subtract4. Simplify / reduce5. Restrictions on variables

ex. 67x

87x+

ex. 6x­3

2xx­3

6

4x +

6x2

ex.

ex. 23x

52x+

7

4x+3

ex. 5x­2

ex.  3x2­x

2x2­1

8

ex. x­3x2+2x­15

x­1x+5

+

9

2x2­ 4

ex 12x ­ x2

+

10

3x+3

2x­3

4xx2­ 9+ ­

11

2xx+2

1x2­4

32 ­ x

+­

12

5xx2  ­ 25 + 3

5  ­ x2x

x2 + 4x ­ 5­

13

Exercise # 44omit #

Assignment: