11.2 Multiplying

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11.2 Multiplying Dividing Rational Expressions

• Essential Question How do you multiply and
  divide rational expressions?

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Main Idea

• Today we are going to multiply and divide
  rational expressions.
• Use the same strategies as multiplying and
  dividing fractions.
• Use factor methods from chapter 8.
• Use methods from 10.3 for simplifying.

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Multiplication

• Just like multiplying fractions, you can
• Multiply numerators, then multiply denominators
• Cross cancel

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Ex.1 Multiply Rational Expressions
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Practice
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Ex.2 Multiply by a Polynomial

• Just like multiplying a fraction by a whole
  number, put a 1 in the denominator.

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Practice
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Ex.3 Rational Expression with Polynomials

• Method 1 simplify first, then multiply.
• Method 2 multiply first, then simplify.

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Practice
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Division

• Just like dividing fractions
• Flip the second rational expression, then
  multiply. (multiply by the reciprocal)

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Ex.4 Dividing
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Practice
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Summary

• Answer the essential question in detailed,
  complete sentences.
• How do you multiply and divide rational
  expressions?
• Write 2-4 study questions in the left column to
  correspond with the notes.