D 20. Marco wants to show that x³-y - (x-y)x² +xy +y is true for all values of x and y. Marco makes a table with several values of x and y and finds the equation is true every time. Part A: Does Marco's procedure ensure that the equation is a polynomial identity? Explain. Part B: How would you justify that x-y (x-y) is true for all values of x and y? i U Font Family - AA A O F-E - E - O
D 20. Marco wants to show that x³-y - (x-y)x² +xy +y is true for all values of x and y. Marco makes a table with several values of x and y and finds the equation is true every time. Part A: Does Marco's procedure ensure that the equation is a polynomial identity? Explain. Part B: How would you justify that x-y (x-y) is true for all values of x and y? i U Font Family - AA A O F-E - E - O
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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Question
![O D 20. Marco wants to show that x -y = (x-y) x+ xy +y? is true for all values of x and y. Marco makes a table with several values of x and y and finds the equation is true every time.
Part A: Does Marco's procedure ensure that the equation is a polynomial identity? Explain.
Part B: How would you justify that x - = (x-)x
+ xy+y
is true for all values of x and y?
i
U Font Family
- AA A O F:E - E](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1161467d-ff6f-4712-994d-863e0a7db0be%2F295fb98a-7752-48ad-9503-bfd780147553%2Fy631ouz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:O D 20. Marco wants to show that x -y = (x-y) x+ xy +y? is true for all values of x and y. Marco makes a table with several values of x and y and finds the equation is true every time.
Part A: Does Marco's procedure ensure that the equation is a polynomial identity? Explain.
Part B: How would you justify that x - = (x-)x
+ xy+y
is true for all values of x and y?
i
U Font Family
- AA A O F:E - E
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
The given identity is
x3-y3= (x-y)(x2+xy+y2)
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