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 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. ## §2-3 PROBLEM SOLUTIONS 