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Rational Expressions and Their Simplification
Radical Expressions and Equations
Algebraic Expressions
Simplifying Algebraic Expressions
Rational Expressions and Functio
Rational Expressions and Functions
Radical Expressions
Rational Expressions Worksheet
Adding and Subtracting Rational Expressions
Rational Expressions
Multiplying and Dividing Rational Expressions
Dividing Fractions, Mixed Numbers, and Rational Expressions
Multiplying and Dividing Rational Expressions
Multiplying and Dividing Rational Expressions
Simplifying Rational Expressions
Complex Rational Expressions
Rational Expressions and Equations
Integration of Polynomial Rational Expressions
Algebraic Expressions
Radical Expressions & Radical Functions
Rational Class and Expression Evaluator
Adding and Subtracting Rational Expressions
Rational Expressions
Radical Expressions
Multiplying Rational Expressions
Rational Expressions and Common Denominators
rational expressions
Polynomial Expressions
Rational Functions, and Multiplying and Dividing Rational Expressions
Simplifying Radical Expressions
Adding and Subtracting Rational Expressions
Rational Expressions and Equations
Rational Expressions
RATIONAL EXPRESSIONS II
Simplifying Expressions
Quadratic Expressions,Equations and Functions
RATIONAL EXPRESSIONS
Absolute Value and Radical Expressions,Equations and Functions
Rational Expressions & Functions

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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

§2-3 PROBLEM SET

Simplify each expression.

Perform the indicated operation and simplify the result.

§2-3 PROBLEM SOLUTIONS