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Division of Algebraic Expressions

When dividing algebraic expressions, the following formula is useful:

 

This formula generalizes to any number of terms.
 
Example

 

 


 

When there is more than a single variable in the denomination, we usually factor the expression and then cancel, instead of using the above formula.
 

 
Example

A.  x + 1
B.  –x – 1
C.  –x + 1
D.  x – 1
E.  x – 2


.

 

The answer is (D).

 





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