1. Сократите дробь: а) \(\frac{75b^2c^3}{50b^3c^5}\); б) \(\frac{2x}{x^2-xb}\); в) \(\frac{7x-7y}{x^2-y^2}\).

1. \(\frac{75b^2c^3}{50b^3c^5}=\frac{3}{2bc^2}\), при \(b\ne0\), \(c\ne0\).
2. \(\frac{2x}{x^2-xb}=\frac{2x}{x(x-b)}=\frac{2}{x-b}\), при \(x\ne0\), \(x\ne b\).
3. \(\frac{7x-7y}{x^2-y^2}=\frac{7(x-y)}{(x-y)(x+y)}=\frac{7}{x+y}\), при \(x\ne y\), \(x\ne -y\).

Ответ: а) \(\frac{3}{2bc^2}\); б) \(\frac{2}{x-b}\); в) \(\frac{7}{x+y}\).