How to simplify rational expressions? A tutorial with examples and detailled solutions is presented.
To simplify a rational expression, we first factor both the numerator and denominator completely then reduce the expression by cancelling common factors.
Example 1: Simplify the rational expression
Detailed Solution to Example 1
 Factor both the numerator and denominator completely.
 Cancel common factors to reduce and simplify the given expression.
Note: The given expression is equal to 2 on the condition that x is not equal to 1. x = 1 is not in the domain of the expression.
Example 2: Simplify the rational expression
Detailed Solution to Example 2
 Factor both the numerator and denominator completely.
 Cancel common factors to simplify the expression.
Example 3: Simplify the rational expression
Detailed Solution to Example 3
 Factor both the numerator and denominator completely.
 Note that  x + 1 =  (x  1) in the denominator.
 Cancel common factors.
Exercises
Simplify the rational expression.
Answers to the above exercises
More references to topics related to rational expressions.
