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Warm-Up Lesson on Multiplying and Dividing Rational Expressions

Dive into the fundamentals of rational expressions with this comprehensive warm-up lesson. Learn how to multiply and divide fractions by simplifying rational expressions through key properties and techniques. This lesson covers crucial concepts like factoring the numerator and denominator, canceling common factors, and applying the property of -1. With engaging examples, including reducing fractions and handling complex fractions, you'll gain essential skills to tackle rational expressions confidently.

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Warm-Up Lesson on Multiplying and Dividing Rational Expressions

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  1. Warm-Up (Fractions) Calculator Free. [1] [2] [3] [4]

  2. Lesson 9.1 Multiplying & Dividing Rational Expressions Rational Expression: Ratio of two polynomials Simplifying Rational Expressions (Reducing) [1] Factor the numerator & denominator [2] Cancel common factors Property of –1:

  3. a) b) Example 1 Reducing Fractions (x + 5)(x – 3) (x + 5)(x + 3)

  4. b) c) Example 2 Simplifying Using Property of -1 2(5x – 1) a) a2(b – 1) a3(1 – b)

  5. b) Example 3 Multiplying Fractions (x + 4)(x – 2) 3(x + 1) a) (x + 3)(x + 1)

  6. b) Example 4 Dividing Fractions a)

  7. Example 5 Complex Fraction (dividing cont’) a)

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