a: gọi d=ƯCLN(n+4;n+5)
=>\(\left\{{}\begin{matrix}n+5⋮d\\n+4⋮d\end{matrix}\right.\)
=>\(n+5-n-4⋮d\)
=>\(1⋮d\)
=>d=1
b: gọi d=ƯCLN(2n+3;2n+1)
=>\(\left\{{}\begin{matrix}2n+3⋮d\\2n+1⋮d\end{matrix}\right.\)
=>\(2n+3-2n-1⋮d\)
=>\(2⋮d\)
mà 2n+3 lẻ
nên d=1