6) Сократите дробь: а) x(a+3)/(y(a+3)); б) 3(x+5)²/(x+5)³; в) 3a(b−2)/(6(b−2)²); г) x²(x−8)³/(x⁴(x−8)²); д) (3a+3b)/(5(a+b)); е) (7x−14y)/(3x−6y).

1. \(\dfrac{x(a+3)}{y(a+3)}=\dfrac{x}{y}\).
2. \(\dfrac{3(x+5)^2}{(x+5)^3}=\dfrac{3}{x+5}\).
3. \(\dfrac{3a(b-2)}{6(b-2)^2}=\dfrac{a}{2(b-2)}\).
4. \(\dfrac{x^2(x-8)^3}{x^4(x-8)^2}=\dfrac{x-8}{x^2}\).
5. \(\dfrac{3a+3b}{5(a+b)}=\dfrac{3(a+b)}{5(a+b)}=\dfrac{3}{5}\).
6. \(\dfrac{7x-14y}{3x-6y}=\dfrac{7(x-2y)}{3(x-2y)}=\dfrac{7}{3}\).

Ответ: а) \(\dfrac{x}{y}\); б) \(\dfrac{3}{x+5}\); в) \(\dfrac{a}{2(b-2)}\); г) \(\dfrac{x-8}{x^2}\); д) \(\dfrac{3}{5}\); е) \(\dfrac{7}{3}\).