
Rational
Expressions 


Simplification of rational expressions, reducing to lowest
terms

Multiplication and division of rational
expressions






Simplification of rational expressions, reducing to lowest
terms

A
rational expression is a fraction of which the numerator and the
denominator are polynomials. 
A
rational expression is reduced to lowest terms if all common
factors from the numerator and denominator are canceled. 
To
reduce a rational expression to lowest terms first factorize
both the numerator and denominator as much as possible then
cancel common factors, i.e., divide their numerator and
denominator by common factors. 

Examples:
Reduce the following
rational expression to lowest terms. 







factoring
out the minus sign, 

or 










Multiplication and division of rational
expressions

Use
the formulas for the multiplication
and the division of fractions. 


and 



Notice
the two special cases of which should be aware of: 


and 




Examples:
Perform the indicated
operations and reduce the answer to lowest terms. 

Note,
since each second line should be subtracted, the sign of each term is reversed. 








Beginning
Algebra Contents C 



Copyright
© 2004  2020, Nabla Ltd. All rights reserved. 