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Efficiently Adding and Subtracting Rational Expressions

Learn to simplify sums and differences of rational expressions by finding the least common multiple of denominators. Practice with examples and keep common factors in mind. Homework problems included.

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Efficiently Adding and Subtracting Rational Expressions

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  1. Chapter 7:Rational Algebraic Functions Section 7-8: Sums and Differences of Rational Expressions

  2. Objectives • Be able to add or subtract several rational expressions and simplify the result.

  3. Example: • Find the LCM!!!!!

  4. Ideas to keep in mind when adding/subtracting rational expressions: • If any simplifying of the expressions can be done first, do it before adding or subtracting

  5. Ideas to keep in mind when adding/subtracting rational expressions: • Make sure the common denominator is the least common multiple of the denominators.

  6. Ideas to keep in mind when adding/subtracting rational expressions: • If one denominator has a factor of the form a – b and another has the form b – a , only one of these factors needs to appear in the common denominator since they are additive inverses of each other.

  7. HOMEWORK: p. 368 #3-41 odd

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