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Joyce DuVall Green Valley High School Henderson, Nevada

Multiplying Rational Expressions. Joyce DuVall Green Valley High School Henderson, Nevada. Multiplying Rational Expressions. The objective is to be able to multiply rational expressions. Step 1. Multiply the following rational expressions. Multiply the numerators. 2. 36. x. 5. ·. 3.

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Joyce DuVall Green Valley High School Henderson, Nevada

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  1. Multiplying Rational Expressions Joyce DuVall Green Valley High School Henderson, Nevada

  2. Multiplying Rational Expressions • The objective is to be able to multiply rational expressions.

  3. Step 1 Multiply the following rational expressions. • Multiply the numerators. 2 36 x 5 · 3 16 x

  4. 2 36 x 5 · 3 16 x Step 2 Multiply the denominators

  5. Step 3 Simplify the resulting expression by dividing out the greatest common factor of the numerator and denominator. The greatest common factor (GCF) of 36 and 48 is 12. The greatest common factor (GCF) of x2 and x5 is x2.

  6. Simplify 2 · · 3 12 x 2 3 · · · 4 12 x x 2 12 x 3 · · 2 3 12 x 4 x 3 3 · · = 1 1 3 3 4 x 4 x

  7. Method 2 When the rational expressions become more complex or the numbers become larger, it is sometimes easier to divide out the common factors and then multiply. This is the case for the following example.

  8. Example Factor each term. Divide out the common factors

  9. - - x y x y 4 4 Example Continued · · = 1 1 Simplify

  10. You Try It A A A

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