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Adding and Subtracting 
 Rational Expressions 
                          1
2
3
Recall:
      When adding / subtracting fractions, always look for LCD

ex.
         3       2
         4       7




ex. ...
To Simplify Algebraic Fractions:
      1.   Factor / Find LCD
      2.   Change fractions to have common denominators
    ...
ex.
      4   6
      x + x2




ex.
      2      5
           +
      3x     2x




                  6
ex.     4            5
       x+3          x­2




      ex. 
              3            2
             x2­x         x2­1
...
x­3   + x­1
ex.

      x2+2x­15   x+5




                       8
ex     2     +     1
      2                2
     x ­ 4       2x ­ x




                           9
2         3   4x
x­3
      +      ­ 2
          x+3 x ­ 9




                      10
1 ­ 2x    +
                 3
x2­4 x+2       2 ­ x




                       11
5x            3
 2 
x  ­ 25
          +            ­       2x
              5  ­ x        2
                           x  ...
Assignment:


       Exercise # 44
       omit #




                       13
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Precal 20 S Adding And Subtracting Rational Expressions

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Precal 20 S Adding And Subtracting Rational Expressions

  1. 1. Adding and Subtracting  Rational Expressions  1
  2. 2. 2
  3. 3. 3
  4. 4. Recall: When adding / subtracting fractions, always look for LCD ex. 3 2 4 7 ex. 5 3 + 6 7 4
  5. 5. To Simplify Algebraic Fractions: 1. Factor / Find LCD 2. Change fractions to have common denominators 3. Add / Subtract 4. Simplify / reduce 5. Restrictions on variables ex. 6 + 8 7x 7x ex. 2x 6 x­3 x­3 5
  6. 6. ex. 4 6 x + x2 ex. 2 5 + 3x 2x 6
  7. 7. ex. 4 5 x+3 x­2 ex.  3 2 x2­x x2­1 7
  8. 8. x­3 + x­1 ex. x2+2x­15 x+5 8
  9. 9. ex 2 + 1 2 2 x ­ 4 2x ­ x 9
  10. 10. 2 3 4x x­3 + ­ 2 x+3 x ­ 9 10
  11. 11. 1 ­ 2x + 3 x2­4 x+2 2 ­ x 11
  12. 12. 5x 3 2  x  ­ 25 + ­ 2x 5  ­ x 2 x  + 4x ­ 5 12
  13. 13. Assignment: Exercise # 44 omit # 13

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