Ответ:

  1. Раскрываем скобки: \((x+y)(2x-3y)=2x^2-3xy+2xy-3y^2=2x^2-xy-3y^2\).
  2. \((2x-7)(3x+6)=6x^2+12x-21x-42=6x^2-9x-42\).
  3. \((-4.5y+2.3)(1.2y-8.9)=-5.4y^2+40.05y+2.76y-20.47=-5.4y^2+42.81y-20.47\).
  4. \((1.8x-2.5)(0.2x+3.4)=0.36x^2+6.12x-0.5x-8.5=0.36x^2+5.62x-8.5\).

Ответ: 1) \(2x^2-xy-3y^2\); 2) \(6x^2-9x-42\); 3) \(-5.4y^2+42.81y-20.47\); 4) \(0.36x^2+5.62x-8.5\).