In this lesson, we learn how to simplify algebraic rational expressions by factoring the numerator and denominator and canceling out common factors. The lesson also emphasizes the importance of not canceling out terms unless they have been fully factored. The examples provided demonstrate how to handle problems with common factors, opposites, and quadratic trinomials in the denominator. Overall, this lesson teaches a fundamental skill in algebra that will be useful in many different applications.
Examples of simplifying algebraic rational expressions by factoring the numerator and denominator in order to cancel factors to reduce the rational expression to a simplified form.
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