6) Сократите дроби: а) a(x−2)/(b(x−2)); б) 4(c+3)²/(c+3)³; в) 5y(b−7)/(10(b−7)²); г) p³(q−1)⁴/[p⁶(q−1)²]; д) (2x−2b)/[3(x−b)]; е) (5a−10y)/(2a−4y).

1. а) \(\frac{a(x-2)}{b(x-2)}=\frac{a}{b}\).
2. б) \(\frac{4(c+3)^2}{(c+3)^3}=\frac{4}{c+3}\).
3. в) \(\frac{5y(b-7)}{10(b-7)^2}=\frac{y}{2(b-7)}\).
4. г) \(\frac{p^3(q-1)^4}{p^6(q-1)^2}=\frac{(q-1)^2}{p^3}\).
5. д) \(\frac{2(x-b)}{3(x-b)}=\frac{2}{3}\).
6. е) \(\frac{5(a-2y)}{2(a-2y)}=\frac{5}{2}\).

Ответ: а) \(\frac{a}{b}\); б) \(\frac{4}{c+3}\); в) \(\frac{y}{2(b-7)}\); г) \(\frac{(q-1)^2}{p^3}\); д) \(\frac{2}{3}\); е) \(\frac{5}{2}\).