1. 11-1 Simplifying Rational Expressions

2. Problem 1: Simplifying a Rational Expression
What is the simplified form of the following expression, State any excluded values. 𝑥−1 5𝑥−5

3. What is the simplified form of the following expression, State any excluded values. 21 𝑎 2 7 𝑎 3

4. What is the simplified form of the following expression, State any excluded values. 26 𝑐 3 +91𝑐 2 𝑐 2 +7

5. What is the simplified form of the following expression, State any excluded values. 18 𝑑 2 4𝑑+8

6. Problem 2: Simplifying a Rational Expression Containing a Trinomial
What is the simplified form of the following expression? State any excluded values. 3𝑥−6 𝑥 2 +𝑥−6

7. What is the simplified form of the following expression
What is the simplified form of the following expression? State any excluded values. 𝑎 2 −3𝑎+2 3𝑎−3

8. What is the simplified form of the following expression
What is the simplified form of the following expression? State any excluded values. 6𝑧+12 2𝑧 2 +7𝑧+6

9. What is the simplified form of the following expression
What is the simplified form of the following expression? State any excluded values. 𝑐 2 −𝑐−6 𝑐+5𝑐+6

10. Problem 3: Recognizing Opposite Factors
What is the simplified form of the following expression. State any excluded values. 4− 𝑥 2 7𝑥−14

11. What is the simplified form of the following expression
What is the simplified form of the following expression. State any excluded values. 2𝑥−5 5−2𝑥

12. What is the simplified form of the following expression
What is the simplified form of the following expression. State any excluded values. 3−9𝑑 6𝑑 2 +𝑑−1