Ответ:

  1. а) \(6y+\frac1y=\frac{6y^2+1}{y}\).
    б) \(\frac7x-2x=\frac{7-2x^2}{x}\).
    в) \(3a-\frac{12a^2}{4a-1}=\frac{3a(4a-1)-12a^2}{4a-1}=\frac{-3a}{4a-1}\).
    г) \(\frac{15b}{5-b}-3b=\frac{15b-3b(5-b)}{5-b}=\frac{3b^2}{5-b}\).
  2. а) \(\frac{6c^2- (2c+5)(3c-2)}{3c-2}=\frac{6c^2-(6c^2+11c-10)}{3c-2}=\frac{10-11c}{3c-2}\).
    б) \(2y-\frac{3y^2-5y+2}{3y-2}-1=\frac{(2y-1)(3y-2)-(3y^2-5y+2)}{3y-2}=\frac{3y^2-2y}{3y-2}=\frac{y(3y-2)}{3y-2}=y\).

Ответ: \(\frac{6y^2+1}{y};\ \frac{7-2x^2}{x};\ -\frac{3a}{4a-1};\ \frac{3b^2}{5-b};\ \frac{10-11c}{3c-2};\ y\).