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Section 8.2: Multiplying and Dividing Rational Expressions

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8.2 Lecture Guide: Multiplying and Dividing Rational Expressions Objective: Multiply and divide rational expressions.

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Multiplying Rational Expressions Algebraically and Verbally 1. Factor the numerators and the denominators. Then write the product as a single fraction, indicating the product of the numerators and the product of the denominators. If A, B, C and D are real polynomials and then 2. Reduce this fraction by dividing the numerator and the denominator by any common nonzero factors. Algebraic Example

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Dividing Rational Expressions: Algebraically and Verbally 1. Rewrite the division problem as the product of the dividend and the reciprocal of the divisor. If A, B, C and D are real polynomials and then 2. Perform the multiplication using the rule for multiplying rational expressions. Algebraic Example

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Perform the indicated operations and reduce all results to lowest terms. Assume the variables are restricted to values that prevent division by zero. 1.

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Determine the unknown expression in each equation. 10.

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Determine the unknown expression in each equation. 11.

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