解:(2x-3)^2-(x+y)(x-y)-y^2=4x^2-12x+9 - x^2+y^2 -y^2=3x^2-12x+9=3 (x^2-4x)+9已知x^2-4x-1=0则: x^2-4x=1原式 =3 * 1 +9 = 3+9=12