Then use the equivalent expressions property to eliminate factors common to

# Then use the equivalent expressions property to

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Then use the equivalent expressions property to eliminate factors common to both the numerator and the denominator. A rational expression is simplified when 1 is the only common factor of both the numerator and the denominator. SIMPLIFYING RATIONAL EXPRESSIONS Simplify: Solution: Factor. Use (7 x ) = ( x 7). x 7. SIMPLIFYING RATIONAL EXPRESSIONS EXAMPLE cont’d SIMPLIFYING RATIONAL EXPRESSIONS Simplify the following: OPERATIONS ON RATIONAL EXPRESSIONS Arithmetic operations are defined on rational expressions in the same way as they are on rational numbers. Definitions of Arithmetic Operations for Rational Expressions For all rational expressions and where Q 0 and S 0, Addition Subtraction OPERATIONS ON RATIONAL EXPRESSIONS Multiplication Division Factoring and the equivalent expressions property of rational expressions are used in the multiplication and division of rational expressions. OPERATIONS ON RATIONAL EXPRESSIONS Multiply: Solution: Factor. 2 x = ( x 2). EXAMPLE OPERATIONS ON RATIONAL EXPRESSIONS Simplify. cont’d OPERATIONS ON RATIONAL EXPRESSIONS MATH10-3: Algebra OPERATIONS ON RATIONAL EXPRESSIONS Multiplication of Algebraic Expressions Find the product: MATH10-3: Algebra OPERATIONS ON RATIONAL EXPRESSIONS Division of Algebraic Expressions Find the quotient: Addition of rational expressions with a common denominator is accomplished by writing the sum of the numerators over the common denominator. For example,  #### You've reached the end of your free preview.

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• Winter '16
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• Rational Expressions, Algebraic Expressions, Elementary arithmetic, 40 mph, 50 mph
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