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Algebra II 9.2 Multiplying and Dividing Rational Expressions 9.2 Multiplying and Dividing Rational Expressions *Understand that rational expressions form a system closed under addition, subtraction, multiplication, and division by a nonzero rational expressions. *Multiply and divide rational expressions. 1 Algebra II 9.2 Multiplying and Dividing Rational Expressions 2 Algebra II 9.2 Multiplying and Dividing Rational Expressions Multiply x + 1 by 3 to find the numerator of the product, and multiply x 1 by 2(x + 1) to find the denominator. Then cancel common factors to simplify the product. 3 Algebra II 9.2 Multiplying and Dividing Rational Expressions When dividing rational numbers, multiply by the reciprocal of the divisor and follow the steps for multiplying rational numbers. So, when dividing rational expressions, multiply by the reciprocal of the divisor and follow the steps for multiplying rational expressions. 4 Algebra II 9.2 Multiplying and Dividing Rational Expressions 5 Algebra II 9.2 Multiplying and Dividing Rational Expressions 6 Algebra II 9.2 Multiplying and Dividing Rational Expressions 7 Algebra II 9.2 Multiplying and Dividing Rational Expressions 8 Algebra II 9.2 Multiplying and Dividing Rational Expressions 9 Algebra II 9.2 Multiplying and Dividing Rational Expressions 10 Algebra II 9.2 Multiplying and Dividing Rational Expressions 11 Algebra II 9.2 Multiplying and Dividing Rational Expressions 12 Algebra II 9.2 Multiplying and Dividing Rational Expressions Closed Not Closed Closed Not Closed Closed Closed Closed Closed Closed Closed Not Closed Closed 13 Algebra II 9.2 Multiplying and Dividing Rational Expressions 14 Algebra II 9.2 Multiplying and Dividing Rational Expressions 15 Algebra II 9.2 Multiplying and Dividing Rational Expressions 16 Algebra II 9.2 Multiplying and Dividing Rational Expressions When finding excluded values of a product of two rational expressions, find the values of x for which the denominator of either expression is 0. When finding excluded values when dividing one rational expression by another, find the values of x for which the denominator of either expression or the numerator of the second expression is 0. When dividing rational expressions, find the reciprocal of the divisor and change the division problem to a multiplication problem. Then follow the steps for multiplying rational expressions. 17