Ask Question
16 October, 10:33

Prove that (n+5) ^2 - (n+3) ^2 is a multiple of 4 for all positive integer values of n.

+4
Answers (1)
  1. 16 October, 11:17
    0
    (n+5) ² - (n+3) ² =

    = (n² + 10n + 25) - (n² + 6n + 9)

    = n² + 10n + 25 - n² - 6n - 9

    = 4n + 16

    = 4 (n + 4) ⋮ 4
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Prove that (n+5) ^2 - (n+3) ^2 is a multiple of 4 for all positive integer values of n. ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers