06 Simplifying Rational Expressions In Algebra Part 1 Algebra 2 View more at mathtutordvd .in this lesson, you will learn what a rational expression is in algebra and how to simplify rational expressions. a. Share 06 simplifying rational expressions in algebra, part 1 on x pin 06 simplifying rational expressions in algebra, part 1 on pinterest email 06 simplifying rational expressions in algebra, part 1 to a friend.
Simplifying Rational Expressions Examples To solve a rational expression start by simplifying the expression by finding a common factor in the numerator and denominator and canceling it out. then, check for extraneous solutions, which are values of the variable that makes the denominator equal to zero. these solutions must be excluded because they are not valid solutions to the equation. Example 1.6.1 1.6. 1: simplifying rational expressions. simplify x2 − 9 x2 4x 3 x 2 − 9 x 2 4 x 3. solution. (x 3)(x − 3) (x 3)(x 1) x − 3 x 1 factor the numerator and the denominator cancel common factor (x 3) ( x 3) ( x − 3) ( x 3) ( x 1) factor the numerator and the denominator x − 3 x 1 cancel common. Exercise 7.1.4 rational expressions. an object’s weight depends on its height above the surface of earth. if an object weighs 120 pounds on the surface of earth, then its weight in pounds, w, x miles above the surface is approximated by the formula. w = 120 ⋅ 40002 (4000 x)2. Steps to simplifying rational expressions: your teacher may, or may not, ask you to state the "domains" of rational expressions. the domain will state the values for which the expression will be undefined. 1. determine the domain of the expression, looking for zero denominator problems. 1. given: domain: x ≠0, y≠0. 2.
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