Ответ:

  1. \(\dfrac{2(m+8)-16}{m(m+8)}=\dfrac{2}{m+8}\).

  2. \(\dfrac{3(a-2)-2(a-1)}{6(a-3)}=\dfrac{a-4}{6(a-3)}\).

  3. \(\dfrac{a^2+b^2+2ab}{2a(a+b)}=\dfrac{(a+b)^2}{2a(a+b)}=\dfrac{a+b}{2a}\).

  4. \(\dfrac{a(b+4)-b(a+4)}{ab(a-b)}=\dfrac{4(a-b)}{ab(a-b)}=\dfrac{4}{ab}\).