
RATIONAL EXPRESSIONS
Definition
A rational expression has the form P/Q, where P
and Q are polynomials and Q ≠ 0. 
Property
If P/Q is a rational expression and if R is a
polynomial such that R ≠ 0, then

Example 1 Simplify the rational expression:
Solution
Procedure
Multiplying Rational Expressions
The product of the rational expressions

Example 2 Multiply the following rational
expressions:
Simplify your answer.
Solution
Procedure
Dividing Rational Expressions
The quotient of the rational expressions

Example 3 Divide the following rational expressions
Simplify your answer.
Solution
Procedure
Adding Rational Expressions
If P/Q and R/Q are rational expressions, then

Example 4 Add the following rational expressions:
Simplify your answer.
Solution
Procedure
Subtracting Rational Expressions
If P/Q and R/Q are rational expressions, then

Example 5 Subtract the following rational
expressions:
Solution
§23 PROBLEM SET
Simplify each expression.
Perform the indicated operation and simplify the
result.
§23 PROBLEM SOLUTIONS
