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)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 9AEXP
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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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