How to Simplify Rational Expressions
This guide explains how to simplify rational expressions by identifying and dividing out common factors from the numerator and denominator. It highlights the concept of simplified form and outlines key properties, making it easy to grasp the fundamentals of this topic. The example clearly demonstrates the simplification process by factoring out common terms, providing a hands-on approach for learners. By following this method, you can confidently simplify rational expressions and enhance your understanding of algebraic concepts.
How to Simplify Rational Expressions
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Presentation Transcript
How to Simplify Rational Expressions Section 8.4 By Molly Sughroue and Mack Alspaugh
Basic Terminology • Simplified form • A rational expression is in simplified form only if its numerator and denominator have no common factors.
Properties Notice that c is in both the denominator and the numerator. To simplify, simply divide out the common factor of c. = Divide out common factor of 5 Divide out the common factor of x+3
Example So remember… first factor the numerator and denominator. Divide out any factors that are common to both the numerator and denominator. = You can divide out common factors in the second expression… but you cannot divide out like terms in the third expression. =7
Now You Try… Factor the numerator and denominator. Divide out common factor Answer!!!
