因式分解[x加y][x加y加2xy]加[xy加1][xy减1]

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因式分解[x加y][x加y加2xy]加[xy加1][xy减1]
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因式分解[x加y][x加y加2xy]加[xy加1][xy减1]
因式分解[x加y][x加y加2xy]加[xy加1][xy减1]

因式分解[x加y][x加y加2xy]加[xy加1][xy减1]
(x+y)(x+y+2xy)+(xy+1)(xy-1)
=(x+y)²+2xy(x+y)+x²y²-1
=(x+y+xy)²-1
=(x+y+xy+1)(x+y+xy-1)
=(x+1)(y+1)(x+y+xy-1)