Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter8: Polynomials
Section8.5: Using The Distributive Property
Problem 51PPS
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Question
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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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