1. Сократите дроби: 1) (5a + 20m)/(5a); 2) (2p − 14q)/(3p − 21q); 3) (x² − 36)/(4x + 24); 4) (10x² − 2x)/(3 − 15x); 5) (a² − 64)/(a² + 16a + 64).

1. \(\dfrac{5a+20m}{5a}=\dfrac{5(a+4m)}{5a}=\dfrac{a+4m}{a}\).
2. \(\dfrac{2p-14q}{3p-21q}=\dfrac{2(p-7q)}{3(p-7q)}=\dfrac{2}{3}\).
3. \(\dfrac{x^2-36}{4x+24}=\dfrac{(x-6)(x+6)}{4(x+6)}=\dfrac{x-6}{4}\).
4. \(\dfrac{10x^2-2x}{3-15x}=\dfrac{2x(5x-1)}{-3(5x-1)}=-\dfrac{2x}{3}\).
5. \(\dfrac{a^2-64}{a^2+16a+64}=\dfrac{(a-8)(a+8)}{(a+8)^2}=\dfrac{a-8}{a+8}\).

Ответ: 1) \(\dfrac{a+4m}{a}\); 2) \(\dfrac{2}{3}\); 3) \(\dfrac{x-6}{4}\); 4) \(-\dfrac{2x}{3}\); 5) \(\dfrac{a-8}{a+8}\).