一道初中分解因式题(xy
(xy-1)的平方+(x+y-2)(x+y-2xy)
(XY-1)^2+(X+Y-2)(X+Y-2XY) =(XY)^2-2XY+1+(X+Y)^2-2XY(X+Y)-2(X+Y)+4XY =(XY)^2+2XY+1+(X+Y)^2-2(XY+1)(X+Y) =(XY+1)^2-2(XY+1)(X+Y)+(X+Y)^2 =(XY+1-X-Y)^2