x^2+y^2-x^2y^2-4xy-1分解因式

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x^2+y^2-x^2y^2-4xy-1分解因式

x^2+y^2-x^2y^2-4xy-1分解因式
x^2+y^2-x^2y^2-4xy-1分解因式

x^2+y^2-x^2y^2-4xy-1分解因式
x^2+y^2-x^2y^2-4xy-1
=(x^2+y^2-2xy)-(x^2y^2+2xy+1)
=(x-y)^2-(xy+1)^2
=(x-y+xy+1)(x-y-xy-1)

x^2+y^2-x^2y^2-4xy-1
=(x^2+y^2-2xy)-(x^2y^2+2xy+1)
=(x-y)^2-(xy+1)^2
=(x-y+xy+1)(x-y-xy-1)

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