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Section 7-7: Products and Quotients of Rational Expressions

CHAPTER SEVEN: RATIONAL ALGEBRAIC FUNCTIONS. Section 7-7: Products and Quotients of Rational Expressions. Objectives:. Be able to multiply or divide several rational expressions and simplify the result. Multiplication.

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Section 7-7: Products and Quotients of Rational Expressions

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  1. CHAPTER SEVEN: RATIONAL ALGEBRAIC FUNCTIONS Section 7-7: Products and Quotients of Rational Expressions

  2. Objectives: • Be able to multiply or divide several rational expressions and simplify the result.

  3. Multiplication • To multiply two fractions, multiply their numerators together and multiply their denominators together. That is:

  4. Example:

  5. Division • Division of fractions is carried out by first applying the definition of division:

  6. Example:

  7. Simplified • A rational expression is simplified when its numerator and denominator have no common factors other than 1. • We simplify rational expressions by canceling.

  8. Canceling • Canceling in a fraction means dividing the numerator and denominator of the fraction by the same common factor.

  9. Example:

  10. Example:

  11. Complex Fractions

  12. HOMEWORK: PAGE 360 #5-33 odds, and#49

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