1. Chapter 6
Section 2

2. Multiplying and Dividing Rational Expressions
6.2
Multiplying and Dividing Rational Expressions
Multiply rational expressions.
Divide rational expressions. 2

3. Multiply rational expressions.
Objective 1
Multiply rational expressions.
Slide 6.2-3

4. Multiply rational expressions.
The product of two rational expressions is found by:
Factoring all numerators and denominators
Cross cancelling common factors, numerator to denominator
Multiplying the numerators and the denominators, straight across.
Multiplying Rational Expressions
The product of the rational expressions and is
where Q and S
Slide 6.2-4

5. Multiplying Rational Expressions
CLASSROOM EXAMPLE 2
Multiplying Rational Expressions
Multiply. Write the answer in lowest terms.
Slide 6.2-6

6. Multiplying Rational Expressions
CLASSROOM EXAMPLE 3
Multiplying Rational Expressions
Multiply. Write the answer in lowest terms.
Solution:
Slide 6.2-7

7. You Try It
Ex. 1
Ex. 2

8. Divide rational expressions.
Objective 2
Divide rational expressions.
Slide 6.2-8

9. Divide rational expressions.
Dividing Rational Expressions
If and are any two rational expressions, where
Multiply the first rational expression by the reciprocal of the second rational expression (the divisor).
Slide 6.2-9

10. Dividing Rational Expressions
CLASSROOM EXAMPLE 4
Dividing Rational Expressions
Divide. Write each answer in lowest terms.
Solution:
Slide

11. Divide. Write in the answer in lowest terms.
CLASSROOM EXAMPLE 7
Dividing Rational Expressions (Factors Are Opposites)
Divide. Write in the answer in lowest terms.
Solution:
Remember to write −1 when dividing out factors that are opposite of each other. It may be written in the numerator or denominator, but not both.
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