1. Сократите дробь: 1) \(\frac{34a^5b}{17ab^5}\); 2) \(\frac{20m^4n^6}{55m^6n^6}\); 3) \(\frac{25x-10y}{5x-2y}\); 4) \(\frac{6a^2+6a+6}{36a^3-36}\).

1. \(\frac{34a^5b}{17ab^5}=\frac{2a^4}{b^4}\), где \(a\ne0,\ b\ne0\).
2. \(\frac{20m^4n^6}{55m^6n^6}=\frac{4}{11m^2}\), где \(m\ne0,\ n\ne0\).
3. \(\frac{25x-10y}{5x-2y}=\frac{5(5x-2y)}{5x-2y}=5\), где \(5x-2y\ne0\).
4. \(\frac{6a^2+6a+6}{36a^3-36}=\frac{6(a^2+a+1)}{36(a^3-1)}=\frac{6(a^2+a+1)}{36(a-1)(a^2+a+1)}=\frac{1}{6(a-1)}\), где \(a\ne1\).

Ответ: 1) \(\frac{2a^4}{b^4}\); 2) \(\frac{4}{11m^2}\); 3) \(5\); 4) \(\frac{1}{6(a-1)}\).