1. Multiplying and Dividing Rational Expressions
Section 7.2
Multiplying and Dividing Rational Expressions

2. Multiplying Rational Expressions
For any two rational expressions and where b  0 and d  0, 2

3. Multiplying Rational Expressions
Rational expressions may be multiplied and then simplified.
Rational expressions may also first be simplified and then multiplied. 7 1 5 1
This method is usually easier. 3

4. Example Multiply. Factor each numerator and denominator.
Factor again whenever possible.
Apply the basic rule of fractions. 4

5. Example Multiply. Factor each numerator and denominator.
Factor again whenever possible.
Write the answer as one fraction. 5

6. Dividing Rational Expressions
The definition for division of fractions is 6

7. Example Divide. Invert the second fraction and multiply.2
Apply the basic rule of fractions. 7

8. Example Divide. Invert the second fraction and multiply.
Factor the numerator and denominator.
Apply the basic rule of fractions. 8