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-8a b3 Ba³b³ Simplify: -2ab6

-8a b3 Ba³b³ Simplify: -2ab6

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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8yz4 Simplify: We will begin by writing the numerator and denominator in factored form. Then we will remove any factors common to the numerator and denominator. The rational expression is simplified when the numerator and denominator have no common factors other than 1. To simplify these expressions, we factor each numerator and denominator and remove common factors. 8yz* 6y²z2 2: 2:2•Y•Z•Z•Z•Z Factor 8yz“ and 6y²z² completely. 2: 3 2· 2· 2· ý· Ź· •z• z Replace 2· y·z•z = 1. 2 and 2' y' Z with This removes the factor 1 2· y•z• Z 422 Зу 8yz4 We say that 4z2 simplifies to 3y бу?22 An alternate approach is to use the rules for exponents to simplify the rational expression. 2: 2· 2· yl - 2,4 – 2 Z: 3 8yz4 -1_2 4yz' 4z2 To divide exponential expressions with the same base, keep the base and subtract the exponents. = 3y -8a363 -2ab6 Simplify:
Transcribed Image Text:8yz4 Simplify: We will begin by writing the numerator and denominator in factored form. Then we will remove any factors common to the numerator and denominator. The rational expression is simplified when the numerator and denominator have no common factors other than 1. To simplify these expressions, we factor each numerator and denominator and remove common factors. 8yz* 6y²z2 2: 2:2•Y•Z•Z•Z•Z Factor 8yz“ and 6y²z² completely. 2: 3 2· 2· 2· ý· Ź· •z• z Replace 2· y·z•z = 1. 2 and 2' y' Z with This removes the factor 1 2· y•z• Z 422 Зу 8yz4 We say that 4z2 simplifies to 3y бу?22 An alternate approach is to use the rules for exponents to simplify the rational expression. 2: 2· 2· yl - 2,4 – 2 Z: 3 8yz4 -1_2 4yz' 4z2 To divide exponential expressions with the same base, keep the base and subtract the exponents. = 3y -8a363 -2ab6 Simplify:
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