x2y2+xy-x2-y2＋x＋y＋2分解因式,

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x2y2+xy-x2-y2＋x＋y＋2分解因式,
x2y2+xy-x2-y2＋x＋y＋2分解因式,

x2y2+xy-x2-y2＋x＋y＋2分解因式,
原式=(x²y²-x²-y²+1)+(xy+x+y+1)
=[x²(y²-1)-(y²-1)]+[x(y+1)+(y+1)]
=(x²-1)(y²-1)+(x+1)(y+1)
=(x+1)(x-1)(y+1)(y-1)+(x+1)(y+1)
=(x+1)(y+1)[(x-1)(y-1)+1]
=(x+1)(y+1)(xy-x-y+2)

（X²Y²-X²-Y²+1）+（XY+X+Y+1）=（X²Y²-X²-Y²+1）+（X+1）（Y+1）=X²（Y²-1）-（Y²-1）+（X+1）（Y+1）=（Y²-1）（X²-1）+（X+1）（Y+1）=(x+1)(x-1)(y+1)(y-1)+(x+1)(y+1)=(x+1)(y+1)[(x-1)(y-1)+1]

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