Discrete Mathematics and Its Application Questions

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I’m working on a discrete math question and need an explanation and answer to help me learn.

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1. Prove that if a is a positive integer, then 4 does not divide a2+2.
question from Discrete Mathematics and Its Application [8th Ed.] by Kenneth
Rosen. Sec 4.1 Ex#12
2. Let m be a positive integer. Show that a ? b (mod m)
if a mod m = b mod m. Drag the necessary statements and drop them
into the appropriate blank to build your proof.

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