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
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Simplify: Solution: Factor. Use (7 x ) = ( x 7). x 7. SIMPLIFYING RATIONAL EXPRESSIONS EXAMPLE
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cont’d SIMPLIFYING RATIONAL EXPRESSIONS
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Simplify the following:
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OPERATIONS ON RATIONAL EXPRESSIONS
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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
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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
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Multiply: Solution: Factor. 2 x = ( x 2). EXAMPLE OPERATIONS ON RATIONAL EXPRESSIONS
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Simplify. cont’d OPERATIONS ON RATIONAL EXPRESSIONS
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MATH10-3: Algebra OPERATIONS ON RATIONAL EXPRESSIONS Multiplication of Algebraic Expressions Find the product:
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MATH10-3: Algebra OPERATIONS ON RATIONAL EXPRESSIONS Division of Algebraic Expressions Find the quotient:
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Addition of rational expressions with a common denominator is accomplished by writing the sum of the numerators over the common denominator. For example,
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  • Winter '16
  • Dr. Jennifer Dela Cruz
  • Rational Expressions, Algebraic Expressions, Elementary arithmetic, 40 mph, 50 mph

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