1. 2. 11
6.2: Multiplication and Division of Rational Expressions Objectives: 6.2.1: Multiply rational expressions 6.2.2: Divide two rational functions 12
6.2.1: Multiply Rational Expressions Once again, we turn to an example from arithmetic to begin our discussion of multiplying rational expressions. Recall that to multiply two fractions, we multiply the numerators and multiply the denominators. For instance, In algebra, the pattern is exactly the same. 13
6.2.1: Multiply Rational Expressions Examples: Multiply the following rational expressions? 1. 2. 3. 4. 14
6.2.1: Multiply Rational Expressions The following algorithm summarizes our work in multiplying rational expressions. 15
6.2.2: Divide Rational Expressions To divide rational expressions, you can again use your experience from arithmetic. Recall that Once more, the pattern in algebra is identical. 16
6.2.2: Divide Rational Expressions Examples: Divide the following rational expressions? 1. 2. 3. 17
6.3: Addition and Subtraction of Rational Expressions Objectives: 6.3.1: Add and subtract rational expressions 18
6.3.1: Add and Subtract Rational Expressions Recall that adding or subtracting two arithmetic fractions with the same denominator is straightforward. The same is true in algebra. To add or subtract two rational expressions with the same denominator, we add or subtract their numerators and then write that sum or difference over the common denominator. 19
6.3.1: Add and Subtract Rational Expressions Examples: Add or subtract as indicated. 1. 2. 3. 20
6.3.1: Add and Subtract Rational Expressions Now, what if the rational expressions do not have common denominators? In that case, we must use the least common denominator (LCD).
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