Вариант №1. 1. Сократите дробь: 1) \(\frac{24a^4b^4}{16a^3b^7}\); 2) \(\frac{15x-10xy}{5xy}\); 3) \(\frac{m^2-4}{2m-4}\); 4) \(\frac{25-a^2}{a^2-10a+25}\).

1. \(\frac{24a^4b^4}{16a^3b^7}=\frac{3a}{2b^3}\).
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) \(\frac{3a}{2b^3}\); 2) \(\frac{3-2y}{y}\); 3) \(\frac{m+2}{2}\); 4) \(-\frac{a+5}{a-5}\).