37. Сократите дробь: а) (2x+bx−2y−by)/(7x−7y); б) (8a+4b)/(2ab+b²−2ad−bd); в) (xy−x+y−y²)/(x²−y²); г) (a²+2ac+c²)/(a²+ac−ax−cx).

а) \(\frac{2x+bx-2y-by}{7x-7y}=\frac{(b+2)(x-y)}{7(x-y)}=\frac{b+2}{7}\).

б) \(\frac{8a+4b}{2ab+b^2-2ad-bd}=\frac{4(2a+b)}{(2a+b)(b-d)}=\frac{4}{b-d}\).

в) \(\frac{xy-x+y-y^2}{x^2-y^2}=\frac{(y-1)(x-y)}{(x-y)(x+y)}=\frac{y-1}{x+y}\).

г) \(\frac{a^2+2ac+c^2}{a^2+ac-ax-cx}=\frac{(a+c)^2}{(a+c)(a-x)}=\frac{a+c}{a-x}\).

Ответ: а) \(\frac{b+2}{7}\); б) \(\frac{4}{b-d}\); в) \(\frac{y-1}{x+y}\); г) \(\frac{a+c}{a-x}\).