27y3-216 determine what value(s) if any of the valiable must be excluded 3y-6

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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  • 27y3-216 determine what value(s) if any of the valiable must be excluded
    3y-6  
Expert Solution
Step 1

The given expression is:

Algebra homework question answer, step 1, image 1

    

                       We can use here the cubic identity which is :

Algebra homework question answer, step 1, image 2

Using this formula , we get:

Algebra homework question answer, step 1, image 3

Now, we can find the roots of the expression:

Algebra homework question answer, step 1, image 4

and roots for the quadratic equation:

Algebra homework question answer, step 1, image 5

 

 

 

 

 

 

 

    

Step 2

Reducing the above expression, we get:

Algebra homework question answer, step 2, image 1

Now Solving it using Quadratic Formula of Discriminant :

Algebra homework question answer, step 2, image 2

Solving this , we get all the complex values for y

 

 

 

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