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Restrictions!




                Absolutely Nothing is Allowed Here
                by flickr user Vicki & Chuck Rogers
Operations on Rational Expressions
   ... follow the same rules as operations on fractions (rational numbers)
                                     (alt
                                          hou
  I Addition and Subtraction a       quot;re      gh
                                  nym ally        we
                                     ore quot; su don
     • find a common denominator            in h btra 't
     • add or subtract as required             igh ct
                                                   sch
     (watch your signs!)                               ool
                                                           )
Operations on Rational Expressions
  ... follow the same rules as operations on fractions (rational numbers)

  II Mulitplication                           Re
                                                  me
                                            the      mb
 • factor and reduce to simplest form      wit   num er!
                                               h a era Any f
 • multiply numerators, then denominators den ny         tor       act
                                              om fact can or in
                                                  ina    or i
                                                     tor      n th reduc
                                                                  e      e

                                                     factor out a -1
DIFFERENCE OF SQUARES
PERFECT SQUARES
                  DISTRIBUTIVE LAW
not something you
would typically do




not something you
would typically do
Operations on Rational Expressions
  ... follow the same rules as operations on fractions (rational numbers)

    III Division
                                                       of h ere!)
  • multiply the numerator by the reciprocal       TS ions
  of the denominator                           (LO trict
                                                 res

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Pre-Cal 20S December 9, 2008

  • 1. Restrictions! Absolutely Nothing is Allowed Here by flickr user Vicki & Chuck Rogers
  • 2. Operations on Rational Expressions ... follow the same rules as operations on fractions (rational numbers) (alt hou I Addition and Subtraction a quot;re gh nym ally we ore quot; su don • find a common denominator in h btra 't • add or subtract as required igh ct sch (watch your signs!) ool )
  • 3. Operations on Rational Expressions ... follow the same rules as operations on fractions (rational numbers) II Mulitplication Re me the mb • factor and reduce to simplest form wit num er! h a era Any f • multiply numerators, then denominators den ny tor act om fact can or in ina or i tor n th reduc e e factor out a -1
  • 4. DIFFERENCE OF SQUARES PERFECT SQUARES DISTRIBUTIVE LAW
  • 5. not something you would typically do not something you would typically do
  • 6. Operations on Rational Expressions ... follow the same rules as operations on fractions (rational numbers) III Division of h ere!) • multiply the numerator by the reciprocal TS ions of the denominator (LO trict res