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Procedure for Simplifying a Rational Expression
To simplify a rational expression, follow these steps:
- Factor the numerator and denominator completely.
- Simplify by dividing out common factors using the Equivalent Fractions Property.
Note that factors are multiplied to make a product, so you can remove a common factor from a product. However, you cannot remove a term from a sum.
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Intermediate Algebra @ OpenStax
Ch.7 Rational Expressions and Functions - Intermediate Algebra @ OpenStax
Algebra
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An instructional designer is creating a tutorial for a technical mathematics course. The tutorial states that the formal definition of a 'simplified' rational expression—where the numerator and denominator share no common factors other than 1—is explicitly identified as an extension of the rules used for simplifying which of the following?
Procedure for Simplifying a Rational Expression
Factored Form of a Simplified Rational Expression