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# Rational Expressions Day 3

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Simplifying, Multiplying, Dividing Rational Expressions

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### Rational Expressions Day 3

1. 1. Lsn 8­3.notebook January 12, 2010 What are these factor pairs equivalent to? example: 1
2. 2. Lsn 8­3.notebook January 12, 2010 Equivalent Rational Numbers a rational number is of the form  where a,b are integers. Since  and , they are equal rational numbers. One way to show that  is to use factoring: Reduce by factoring and canceling: 2
3. 3. Lsn 8­3.notebook January 12, 2010 Example 1: (monomials) Reduce to lowest terms: Example 2: (binomials) Reduce to lowest terms: (except when... 3
4. 4. Lsn 8­3.notebook January 12, 2010 A fraction is "simplified" or "reduced" by factoring and canceling common  factors (pairs that = 1): Exceptions: Note:  this would be like saying  Always completely factor before doing any canceling! 4
5. 5. Lsn 8­3.notebook January 12, 2010 Multiply or Divide Rational Expressions: Recall: for example,  5
6. 6. Lsn 8­3.notebook January 12, 2010 example: now what?   6
7. 7. Lsn 8­3.notebook January 12, 2010 example:  7
8. 8. Lsn 8­3.notebook January 12, 2010 Division: quick calculator discovery... Dividing by 1/2 is the same as _________________________.    8
9. 9. Lsn 8­3.notebook January 12, 2010 Recall Some Important Concepts: Subtraction is the addition of the additive inverse to a number. ex:  7 ­ (2)  =   ex:  4 ­ (­3)  =   Division is the multiplication of the multiplicative inverse and number. ex: ex: 9
10. 10. Lsn 8­3.notebook January 12, 2010 Division of Rational Expressions: 10