完全平方公式题(2)注:括号后的数为次方 (2X+Y-3)2(A+3B-2)(A-3B+2)(X+Y+1)(1-X-Y)[X+(Y+1)][X-(Y+1)](3X+Y-4)(3X+Y+4)-(3X+Y+4)(3X-Y-4)

（1）原式=(2x)2+2×2x(y-3)+(y-3)2
=4x2+4xy-12x+y2-6x+9
=4x2+4xy-18x+y2+9
（2）原式=(A+3B)2-22
=A2+6AB+9B2-4
（3）原式=12-(X+Y)2
=1-X2-2XY-Y2
（4）原式=X2-(Y+1)2
=X2-Y2-2Y-1
（5）原式=(3X+Y)2-16-(3X)2+(Y+4)2
=9X2+6XY+Y2-16-9X2+Y2+8Y+16
=2Y2+6XY+8Y

(2X+Y-3)^2 =(zx+y)^2-6(2x+y)+9=z^2 x^2+2xyz+y^2-12x-6y+9(A+3B-2)(A-3B+2) =[a+(3b-2)][a-(3b-2)]=a^2-(3b-2)^2=a^2-9b^2+12b-4(X+Y+1)(1-X-Y)=-(x+y-1)(x+y+1)=-(x+y)^2+1=-x^2-2xy-y^2+1 [X+(Y+1)][X-(Y+1)]=x^...