1. 9.1 Multiplying and Dividing Rational Expressions Algebra II w/ trig

2. Rational Expression: a ratio of two polynomial expressions ◦To simplify a rational expression, divide both numerator and denominator by their GCF ◦ This means you will need to factor all polynomials that are factorable. ◦A rational expression is in simplest form if its numerator and denominator have no common factors

3. Multiply Rational Expressions: if b ≠ 0 and d ≠ 0 Dividing Rational Expressions: if b ≠ 0, c ≠ 0 and d ≠ 0

4. I. Simplify each expression. A.B. C.D.

5. E.F. G.H.

6. II. Multiply and Simplify. A.B. C.Multiply then reduce, OR cross cancel/ reduce then multiply.

7. When numerators and/or denominators are factorable … - Factor - Cancel out common factors in num/den - Multiply and leave answer in factored form. D.

8. E. F.

9. III. Divide and Simplify - Change division to multiplication - Flip the second fraction - Factor each piece if possible - Cancel out common factors in num/den - Multiply and leave answer in factored form A.

10. B.C.

11. D.E.

12. IV. Complex Fractions (fraction within a fraction) - Rewrite as a division expression then use the steps for division. A.

13. B.C.