chipbmk wrote:Can you explain what you mean when you write "(mod 2)"palvarez wrote:heshamelaziry wrote:If m, n, and p are integers, is m + n odd?
(1) m = p^2 + 4p + 4
(2) n = p^2 + 2m + 1
Not sure how go about this one ?
Rephrase it
m+n = 1 (mod 2)
1. m = p^2 + 4p +4
m = p^2 (mod 2)
2. n = p^2 + 1 (mod 2)
m +n = 2p^2 + 1 = 1 (mod 2).
Get rid of the junk in "rephrasing phase" itself. Carrying it over creates all troubles.
Thanks!
https://en.wikipedia.org/wiki/Modular_arithmetic












