Warm-up: Thursday 8/17/12

Simplify the rational expression and state excluded values.

2

2 2

2

2 4 11. 2.

4 4 2 5 3

63.

5 6

x x x

x x x x

x

x x

Double check factors!

HW P6C (#33-40, all)

Answers:

21. , , 2

2 2 2

4 1 12. , 3,

3 2 1 2

63. 3, 2

3 2

x x xx

x x x

xx x

x x

xx x

x x

Homework Answers:Pg. 77 (15-31 odd)

115) , 2, 33x

( 3)( 3)17) , 0, 4,3

( 4)

x xx

x x

119) , 2, 1,2,3

2

xx

x

723) , 19x

2 2 421) , 2,0,2

3

x xx

x

2( 2)25) , 0, 2,2

xx

x

2( 3)27) , 3, 3

3

xx

529) , 1, 5

2

xx

( 2)( 4)31) , 6, 3, 1,3,5

5

x xx

x

Lesson P6 – Day 3 Adding and Subtracting Rational Expressions

with like denominators

The steps are as follows:1.Get a common denominator.2.Add or subtract the numerators.2.Place the result over the common

denominator.3.Simplify if possible.

Example 1:2 2

5 1 4 2

9 9

x x

x x

3

3 3

x

x x

1,3x

Distribute negative.

2

5 1 4 2

9

x x

x

Combine like terms.

Place result over common denominator

2

3

9

x

x

Cancel out like factors.State the excluded values.

Factor numerator and denominator

State domain.(excluded values)

Simplify. 3, 3x x

Common Denominators

YOU TRY!!!

2 2

3 2

9 9

x x

x x

Answer:

2 1

, 3, 33 3

xx x

x x

Example 2: 2 2

8 3 7

9 20 9 20

x x

x x x x

2

8 3 7

9 20

x x

x x

Step 1: Distribute the 2nd term.

2

5 7

9 20

x

x x

Step 2: Combine like terms.

Summary: Explain how to add or subtract rational expressions with like denominators.