(x^2y^2+xy)^2-(1+xy)^2
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(x^2y^2+xy)^2-(1+xy)^2(x^2y^2+xy)^2-(1+xy)^2(x^2y^2+xy)^2-(1+xy)^2(x^2y^2+xy)^2-(1+xy)^2=(x^2y^2+xy+
(x^2y^2+xy)^2-(1+xy)^2
(x^2y^2+xy)^2-(1+xy)^2
(x^2y^2+xy)^2-(1+xy)^2
(x^2y^2+xy)^2-(1+xy)^2
=(x^2y^2+xy+1+xy)(x^2y^2+xy-1-xy)
=(x^2y^2+2xy+1)(x^2y^2-1)
=(x^2y^2+2xy+1)(xy+1)(xy-1)
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原式=[xy(xy+1)]^2-(xy+1)^2=(x^2y^2-1)(xy+1)^2=(xy+1)(xy-1)(xy+1)^2=(xy-1)(xy+1)^3
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