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.