TUTORIALS:

Dividing Rational Expressions
In the next example we factor the polynomials in the rational expressions.
Example 1
Dividing rational expressions
Find the quotient:
Solution


Invert and multiply. 


(5  x) Ã· (x  5) = 1. 


Divide out the common factors. 


Multiply the factors in the numerator. 
Caution
When dividing rational expressions, you can factor the polynomials
at any time, but do not reduce until after you have inverted the divisor.
In the next example division is indicated by a fraction bar.
Example 2
Dividing rational expressions
Perform the operations indicated.
Solution





Invert the divisor. 


Multiply. 


Invert and multiply. 


Factor. 


Reduce. 

Multiply by
, the reciprocal of
3. 
