1. 12-3/12-4 Multiplying/Divi ding Rational Expressions SWBAT: Multiply/Divide Rational Expressions Use Dimensional Analysis with Multiplication

2. Multiplying Rational Expressions To multiply Rational Expressions simply think back to Multiplying Fractions. Remember we multiplied numerators and multiplied denominators.

3. Multiplying Rational Expressions We can also cross cancel… 5 1 2 1

4. Multiplying Rational Expressions We can use either method to Multiply Rational Expressions…

5. Multiplying Rational Expressions We can use either method to Multiply Rational Expressions… 1 3 2 1 1 a b2b2 1 1 c

6. Try Some More… 1.Find the Product2.Find the Product

7. Multiply Expressions with Polynomials Sometimes you must factor quadratic expressions before you can simplify a product of rational expressions

8. Expressions with Polynomials Find x FACTOR! Clear Common Factors! Simplify

9. Try Some More… 1.Find:

10. Dividing Rational Expressions Remember dividing rational numbers expressed as fractions? Instead of dividing, we multiply by the reciprocal of the Divisor. Use the Same Process to Divide Rational Expressions.

11. Example 1: Dividing Expressions with Monomials Find the Quotient: Instead of Dividing, Multiply by the reciprocal of the Divisor!

12. Find the Quotient: Try Another: Dividing Expressions with Monomials

13. Example 2: Dividing Expressions with Binomials Find the Quotient: Instead of Dividing, Multiply by the reciprocal of the Divisor!

14. Try Another: Dividing Expressions with Binomials Find the Quotient:

15. Example 3: Dividing by a Binomials Find the Quotient:

16. Try Another: Dividing by a Binomials Find the Quotient:

17. Example 3: Expressions w/ Polynomials Find the Quotient:

18. Try Another: Expressions w/ Polynomials Find the Quotient: