因式分解x^2y^2+xy-x^2+y^2+x+y+2抄错提了，是x^2y^2+xy-x^2-y^2+x+y+2

来源：学生作业帮助网编辑：作业帮时间：2024/11/15 20:03:34

因式分解x^2y^2+xy-x^2+y^2+x+y+2抄错提了，是x^2y^2+xy-x^2-y^2+x+y+2
因式分解x^2y^2+xy-x^2+y^2+x+y+2
抄错提了，是x^2y^2+xy-x^2-y^2+x+y+2

因式分解x^2y^2+xy-x^2+y^2+x+y+2抄错提了，是x^2y^2+xy-x^2-y^2+x+y+2
原式=（x^2y^2-x2-y2+1)+(xy+x+y+1)
=(x^2-1)(y^2-1)+(x+1)(y+1)
=(x+1)(y+1)[(x-1)(y-1)+1]
=(x+1)(y+1)(xy-x-y+2)

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