2. Rational Expressions

3. RATIONALS - - what are they?
Ratio of two polynomial expressions
Examples include:

4. Simplifying Rationals (factoring out -1)
SIMPLIFYING RULES
Factor top and bottom
Cancel out terms on top/bottom

5. Restrictions on your answer
Your answer is restricted based on the fact that we don’t want an undefined answer. After the initial factoring (before you simplify), decide what values will give a zero in the denominator
In this case, x can not be 0 and y can not be 1

6. Let’s Try Some

7. Let’s Try Some

8. Multiplying Rationals
MULTIPLYING RULES
Factor top and bottom completely
Cancel out terms on top/bottom
Multiply remaining top across and bottom across

9. Let’s Try Some
Multiply. State any restrictions

10. Let’s Try Some
Multiply. State any restrictions

11. Dividing Rationals DIVIDING RULES Flip second fraction
Factor top and bottom completely
Cancel out terms on top/bottom
Multiply remaining top across and bottom across
= x + 1

12. Let’s Try Some
State any restrictions

13. Let’s Try Some
State any restrictions