分解因式：(x+y-2xy)(x+y-2)+(xy-1)^2

来源：学生作业帮助网编辑：六六作业网时间：2024/11/30 09:01:48

分解因式：(x+y-2xy)(x+y-2)+(xy-1)^2分解因式：(x+y-2xy)(x+y-2)+(xy-1)^2分解因式：(x+y-2xy)(x+y-2)+(xy-1)^2(x+y-2xy)(

分解因式：(x+y-2xy)(x+y-2)+(xy-1)^2
分解因式：(x+y-2xy)(x+y-2)+(xy-1)^2

分解因式：(x+y-2xy)(x+y-2)+(xy-1)^2
(x+y-2xy)(x+y-2)+(xy-1)^2
=(x+y)^2--2(xy+1)(x+y)+(xy+1)^2
=(x+y-xy-1)^2=(x-1)^2(y-1)^2

答案是
(x + y - 2xy)(x + y - 2) + (xy - 1)^2
=(X+Y)^2-2(X+Y)-2XY(X+Y)+4XY+X^2Y^2-2XY+1
=(X+Y)^2-2(X+Y)(XY+1)+(XY+1)^2
=(X+Y-XY-1)^2

x^2-xy+y^2 分解因式分解因式：-x-2xy-y² xy(x-y)-x(y-x)^2分解因式分解因式:x^2-xy-2y^2-x-y (2x-2y)-3xy(y-x)分解因式分解因式(2x^-xy-6y^)-x+2y 多项式 2*x*x-xy-15*y*y 分解因式分解因式：x^2(x+1)-y(xy+x) (x^2-xy)^2-(xy-y^2)^2分解因式 x+3xy+3xy+2y分解因式分解因式-x^2y-2xy^2+y^3 分解因式-X^2Y-2XY^2+Y^3 分解因式2x^2y-8xy+8y xy+y^2+x-y-2 分解因式 4x^2y+12xy+9y分解因式分解因式：x的平方y-2xy+y 分解因式 x²y-2xy²+y³ 分解因式xy^3 + y^2 +y-x+1