Multiplying and Dividing Rational Expressions

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Multiplying and Dividing Rational Expressions Section 7.2 Multiplying and Dividing Rational Expressions

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

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

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

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

Dividing Rational Expressions The definition for division of fractions is 6

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

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