1. 10-10 Complex Rational Expressions Standard 13.0 Standard 13.0 One Key Term One Key Term

2. Vocabulary 1. Complex rational expressions 1. A rational expression that has a rational expression in its numerator or denominator or both.

3. What is the most number of terms in either the numerator or denominator? 1. 2. 1. One Term 2. Two Terms

4. Simplifying Complex Rational Expressions (At least Two Terms) At least two terms in the numerator or denominator. a.Find the LCM of the numerators fractions and the denominators fractions. b.Multiply the numerator and the denominator of the complex rational expression by the LCM. c.Simplify.

5. Simplifying Complex Rational Expressions (One Term Only) One term only in both the numerator and denominator of the complex rational expression. 1. Write the complex rational expression out by replacing a division by a product of the reciprocal. 2. Factor, simplify, and multiply.

6. #3 Simplify.

7. #4 Simplify.

8. #5 Simplify.

9. #6 Simplify.