Use a direct proof to show that if x +y is even, then 2²y - y³ + 2 is even. Clearly state your reasoning for all statements and use a two-column proof for the body whenever possible. You should include an intro, body (in two column format), and a conclusion. (Hint: It might be beneficial to factor r²y-y³ in your scratch work)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter8: Polynomials
Section8.1: Adding And Subtracting Polynomials
Problem 71PFA
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3. Use a direct proof to show that if x +y is even, then x²y - y³ + 2 is even.
Clearly state your reasoning for all statements and use a two-column proof
for the body whenever possible. You should include an intro, body (in two
column format), and a conclusion. (Hint: It might be beneficial to factor
r²y - y³ in your scratch work)
Transcribed Image Text:3. Use a direct proof to show that if x +y is even, then x²y - y³ + 2 is even. Clearly state your reasoning for all statements and use a two-column proof for the body whenever possible. You should include an intro, body (in two column format), and a conclusion. (Hint: It might be beneficial to factor r²y - y³ in your scratch work)
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