(1) (a) Show that n(n2 – 1)(n + 2) is divisible by 4 for all integer n. (b) Prove by contradiction : if n – m is odd , then n2 – m² is odd .

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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(1) (a) Show that n(n² – 1)(n + 2) is divisible by 4 for all integer n.
(b) Prove by contradiction : if n – m is odd , then n2 – m? is odd .
Transcribed Image Text:(1) (a) Show that n(n² – 1)(n + 2) is divisible by 4 for all integer n. (b) Prove by contradiction : if n – m is odd , then n2 – m? is odd .
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