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5. Show that (a + b)n = a + bn mod 2 for all integers a, b, and n with n > 0. Hint: Try looking at the cases where a is even (b can be either even or odd) or b is even (a can be either even or odd) and the case where both a and b are odd.

5. Show that (a + b)n = a + bn mod 2 for all integers a, b, and n with n > 0. Hint: Try looking at the cases where a is even (b can be either even or odd) or b is even (a can be either even or odd) and the case where both a and b are odd.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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5. Show that (a + b)n = a + bn mod 2 for all integers a, b, and n with n > 0. Hint: Try looking at the cases where a is even (b can be either even or odd) or b is even (a can be either even or odd) and the case where both a and b are odd.
Transcribed Image Text:5. Show that (a + b)n = a + bn mod 2 for all integers a, b, and n with n > 0. Hint: Try looking at the cases where a is even (b can be either even or odd) or b is even (a can be either even or odd) and the case where both a and b are odd.
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