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3.5 Adding and Subtracting Rational Expressions

3.5 Adding and Subtracting Rational Expressions. 12/12/12. 3 5 x. •. •. Divide out the common factor 5 and simplify. 3 x. =. =. 5. x 5. +. b. x. 6 x. 2 3 x. 3. •. •. c. Divide out the common factors 2 and x. =. =. 14 x 2. 2 7 x x. 7 x.

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3.5 Adding and Subtracting Rational Expressions

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  1. 3.5 Adding and Subtracting Rational Expressions 12/12/12

  2. 3 5 x • • Divide out the common factor 5 and simplify. 3x = = 5 x 5 + b. x 6x 2 3 x 3 • • c. Divide out the common factors 2 and x. = = 14x2 2 7 x x 7x • • • Example 1 Simplify a Rational Expression Simplify the rational expression, if possible. 15x a. 5 This expression is already in simplest form.

  3. Ex 1: Simplify = Factor out 3xy

  4. Ex 2: Simplify = Factor out (x+5) = Combine Like Terms

  5. Ex 3: Simplify Big X = Factor out () Simplify brackets = a2 – b2

  6. Different Denominators: When adding/subtracting fractions and the denominators are different, find the least common denominator (LCD).

  7. Ex 4: Simplify LCD:

  8. Ex 5: Simplify Big X LCD: ( Simplify numerator

  9. Ex 6: Simplify Big X LCD: ( Switch the signs of the second numerator Combine Like terms

  10. Homework: WS 3.5 odd only

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