3. Let a, b € Z. (a) Prove that (a + b) = a + b (b) Prove that (a + b) a +b mod 5. mod 4. Use the Binomial theorem. Use the Binomial theorem.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 53E
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3. Let a, b € Z.
(a) Prove that (a + b) = a + b
(b) Prove that (a + b)^ # a² + b
mod 5. Use the Binomial theorem.
mod 4. Use the Binomial theorem.
Transcribed Image Text:3. Let a, b € Z. (a) Prove that (a + b) = a + b (b) Prove that (a + b)^ # a² + b mod 5. Use the Binomial theorem. mod 4. Use the Binomial theorem.
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