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 Depdendent Variable

 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
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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:

Solution

Procedure

 Dividing Rational Expressions The quotient of the rational expressions

Example 3 Divide the following rational expressions

Solution

Procedure

 Adding Rational Expressions If P/Q and R/Q are rational expressions, then

Example 4 Add the following rational expressions:

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.