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2. Prove that if alc and a + b = c, then alb. 3. Show that if 2a + 1 is a multiple of 5, then 14a² + 19a 19 is a multiple of 25.

2. Prove that if alc and a + b = c, then alb. 3. Show that if 2a + 1 is a multiple of 5, then 14a² + 19a 19 is a multiple of 25.

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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II. Prove/solve the following: 1. Show that ifa # 0 and |a| > |b|, then b does not divide a. 2. Prove that if alc and a + b = c, then alb. 3. Show that if 2a + 1 is a multiple of 5, then 14a² + 19a - 19 is a multiple of 25.
Transcribed Image Text:II. Prove/solve the following: 1. Show that ifa # 0 and |a| > |b|, then b does not divide a. 2. Prove that if alc and a + b = c, then alb. 3. Show that if 2a + 1 is a multiple of 5, then 14a² + 19a - 19 is a multiple of 25.
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