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Multiplication of Rational Expressions

If http://www.redcomet.org/Ma45a/jj240.gif, http://www.redcomet.org/Ma45a/jj241.gif  are two rational expressions, then their product is:
 
http://www.redcomet.org/Ma45a/p67.gif
 

Example 1

Find the product of

http://www.redcomet.org/Ma45a/p68.gif

 
http://www.redcomet.org/Ma45a/p69.gif
 
Canceling like terms we get
 
http://www.redcomet.org/Ma45a/p70.gif

Example 2

Find the product of
 
http://www.redcomet.org/Ma45a/p71.gif

Example 3

Find the value of
 
http://www.redcomet.org/Ma45a/p72.gif

Try these questions

Find the values of the following products of the given rational expressions
 
1.

http://www.redcomet.org/Ma45a/P73.gif

2.

http://www.redcomet.org/Ma45a/p74.gif

3.

http://www.redcomet.org/Ma45a/p75.gif

4.

http://www.redcomet.org/Ma45a/p76.gif

5.

http://www.redcomet.org/Ma45a/p77.gif

Answers to the questions

1.

To find the value of

http://www.redcomet.org/Ma45a/P73.gif

   
  http://www.redcomet.org/Ma45a/p81.gif
 
2.

To find the value of

http://www.redcomet.org/Ma45a/p74.gif

   
  http://www.redcomet.org/Ma45a/p82.gif
 
3.

To find the value of

http://www.redcomet.org/Ma45a/p75.gif

   
  http://www.redcomet.org/Ma45a/p83.gif
 
4.

To find the value of

http://www.redcomet.org/Ma45a/p76.gif

   
  http://www.redcomet.org/Ma45a/p84.gif
 
5.

To find the value of

http://www.redcomet.org/Ma45a/p77.gif

   
  http://www.redcomet.org/Ma45a/p85.gif
   

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