3. Prove that for all m, n, and p, we have the equality (mn) - p = m (n+p). [Hint: Prove that for every natural number x, we have that (m÷n) - p ≤ x if and only if m= (n + p) ≤ x and use it.]
3. Prove that for all m, n, and p, we have the equality (mn) - p = m (n+p). [Hint: Prove that for every natural number x, we have that (m÷n) - p ≤ x if and only if m= (n + p) ≤ x and use it.]
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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![3. Prove that for all m, n, and p, we have the equality (mn) p = m(n+p). [Hint: Prove that
for every natural number x, we have that (m ÷n) − p ≤ x if and only if m ÷ (n + p) ≤ x and use it.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F951f2231-86e9-407d-a37c-7af21b435d5e%2Fc9149cb1-7131-4eef-b66e-ad9f8bb36c06%2F5v8o7bp_processed.png&w=3840&q=75)
Transcribed Image Text:3. Prove that for all m, n, and p, we have the equality (mn) p = m(n+p). [Hint: Prove that
for every natural number x, we have that (m ÷n) − p ≤ x if and only if m ÷ (n + p) ≤ x and use it.]
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