x^2+y^2-x^2y^2-4xy-1因式分解

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x^2+y^2-x^2y^2-4xy-1因式分解x^2+y^2-x^2y^2-4xy-1因式分解x^2+y^2-x^2y^2-4xy-1因式分解=X^2+Y^2-x^2y^2-2xy-2xy-1=(x

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

x^2+y^2-x^2y^2-4xy-1因式分解
=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)

解原式=(x-y)^2-x^2y^2-2xy-1
=(x-y)^2-(x^2y^2+2xy+1)
=(x-y)^2-(xy-1)^2
=(x-y+xy-1)(x-y-xy+1)

原式=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)