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Simplifying Rational Expressions

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[object Object],[object Object]
Dividing Out Common Factors Step 1 – Identify any factors which are common to both the numerator and the denominator. ,[object Object],[object Object]
Dividing Out Common Factors ,[object Object],[object Object],[object Object],[object Object]
Factoring the Numerator and Denominator ,[object Object],[object Object],[object Object],[object Object]
Factoring Step 1 : Look for common factors to both terms in the numerator. ,[object Object],[object Object],Step 2 : Factor the numerator. 3 3 12 3 x x x ( ) 
Factoring Step 3 : Look for common factors to the terms in the denominator and factor. ,[object Object],[object Object],[object Object],3 3 3 4 2 x x x x ( )    
Divide and Simplify Step 4 : Divide out the common factors. In this case, the common factors divide to become 1. Step 5 : Write in simplified form. x x  3 4 2
You Try It Simplify the following rational expressions.

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Simplifying Rational Expressions

  • 1.  
  • 2.
  • 3.
  • 4.
  • 5.
  • 6.
  • 7.
  • 8. Divide and Simplify Step 4 : Divide out the common factors. In this case, the common factors divide to become 1. Step 5 : Write in simplified form. x x  3 4 2
  • 9. You Try It Simplify the following rational expressions.