Multiplying and Dividing Rational Expressions

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Multiplying and Dividing Rational Expressions Section 12.2 Multiplying and Dividing Rational Expressions

Multiplying and Dividing Rational Expressions Property of Multiplication of Rational Function Property If and are rational expressions and B and D are nonzero, then In words: To multiply two rational expressions, write the numerators as a product and write the denominator as a product.

Find the product . Simplify the result. Multiplying and Dividing Rational Expressions Multiply Rational Expressions Example Find the product . Simplify the result. Solution

Find the product . Simplify the result. Multiplying and Dividing Rational Expressions Multiply Rational Expressions Example Find the product . Simplify the result. Solution

Multiplying and Dividing Rational Expressions Multiply Rational Expressions Process To multiply two rational expressions, 1. Factor the numerators and the denominators. Multiply by using the property , where B and D are nonzero. 3. Simplify the result.

Let and Find an equation of the product function Find Multiplying and Dividing Rational Expressions Finding a Product Function Example Let and Find an equation of the product function Find Solution

Multiplying and Dividing Rational Expressions Finding a Product Function Example Solution Continued

Division of Rational Expressions Property of Dividing Rational Expressions Property If and are rational expressions and B, C, and D are nonzero, then In words: To divide by a rational expression, multiply by its reciprocal.

Division of Rational Expressions Property of Dividing Rational Expressions Example Find the quotient Solution

Division of Rational Expressions Property of Dividing Rational Expressions Solution Continued Example To divide two rational expressions, Write the quotient as a product by using property: , where B, C, and D are nonzero. 2. Find the product. 3. Simplify. Process

Division of Rational Expressions Dividing Two Rational Expressions Example Find the quotient Solution

Let Find an equation of the quotient function. Find Division of Rational Expressions Dividing Two Rational Expressions Solution Continued Let Find an equation of the quotient function. Find Example

Division of Rational Expressions Finding a Quotient Function Solution Find the quotient

Division of Rational Expressions Finding a Quotient Function Solution Continued Solution Find the quotient

Perform the indicated operations: Division of Rational Expressions Combining Three Rational Equations Example Perform the indicated operations: Solution

Division of Rational Expressions Combining Three Rational Equations Solution Continued Example