Ответ:

  1. \[\frac{24a^6b^4}{16a^3b^7}=\frac{3a^3}{2b^3}.\]
  2. \[\frac{15x-10xy}{5xy}=\frac{5x(3-2y)}{5xy}=\frac{3-2y}{y}.\]
  3. \[\frac{m^2-4}{2m-4}=\frac{(m-2)(m+2)}{2(m-2)}=\frac{m+2}{2}.\]
  4. \[\frac{25-a^2}{a^2-10a+25}=\frac{(5-a)(5+a)}{(a-5)^2}=-\frac{a+5}{a-5}.\]

Ответ: 1) \(\frac{3a^3}{2b^3}\); 2) \(\frac{3-2y}{y}\); 3) \(\frac{m+2}{2}\); 4) \(-\frac{a+5}{a-5}\).