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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 & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
Problem 49E
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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
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
Step 1

The given identity is 

x3-y3= (x-y)(x2+xy+y2) 

 

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