Chapter 6 Section 2

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

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

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

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

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

You Try It Ex. 1 Ex. 2

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

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

Dividing Rational Expressions CLASSROOM EXAMPLE 4 Dividing Rational Expressions Divide. Write each answer in lowest terms. Solution: Slide 6.2-10

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. Slide 6.2-13