1. Rational Expressions – Product & Quotient PRODUCT STEPS : 1. Factor ( if needed ) 2. Simplify any common factors QUOTIENT STEPS : 1. Change the problem from a division problem to a multiplication problem. To do this, keep your first fraction, change the division sign to multiplication, reciprocal ( flip ) the second fraction 2. Follow the PRODUCT steps

2. Rational Expressions – Product & Quotient EXAMPLE # 1 :

3. Rational Expressions – Product & Quotient EXAMPLE # 1 : When you have simple terms, I like to get all the numbers and variables grouped together…and when multiplying, order doesn’t matter, so line up any terms that can be cancelled…

4. Rational Expressions – Product & Quotient EXAMPLE # 1 : Remember your rules for dividing variables…subtract exponents

5. Rational Expressions – Product & Quotient EXAMPLE # 1 : EXAMPLE # 2 :

6. Rational Expressions – Product & Quotient EXAMPLE # 1 : EXAMPLE # 2 : Change the division problem to a multiplication problem…keep 1 st fraction, multiply, flip the 2 nd fraction…

7. Rational Expressions – Product & Quotient EXAMPLE # 1 : EXAMPLE # 2 : Simplify, cancel or divide constants / variables / expressions…multiply what is left in the numerator / denominator - 4 1

8. Rational Expressions – Product & Quotient EXAMPLE # 1 : EXAMPLE # 2 : - 4 1 Line up all expressions, constants, and variables. Then cancel / simplify…

9. Rational Expressions – Product & Quotient EXAMPLE # 3 :

10. Rational Expressions – Product & Quotient EXAMPLE # 3 : Factor…

11. Rational Expressions – Product & Quotient EXAMPLE # 3 : Cancel / simplify and then multiply numerators and denominators… - 5

12. Rational Expressions – Product & Quotient EXAMPLE # 4 :

13. Rational Expressions – Product & Quotient EXAMPLE # 4 : Change the division problem to a multiplication problem…

14. Rational Expressions – Product & Quotient EXAMPLE # 4 : Factor…

15. Rational Expressions – Product & Quotient EXAMPLE # 4 : Cancel / Simplify…