对(xy+1))(x+1)(y+1)+xy进行因式分解.

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对(xy+1))(x+1)(y+1)+xy进行因式分解.

对(xy+1))(x+1)(y+1)+xy进行因式分解.
对(xy+1))(x+1)(y+1)+xy进行因式分解.

对(xy+1))(x+1)(y+1)+xy进行因式分解.
(xy+1)(x+1)(y+1)+xy
展开(x+1)(y+1)展开,得
(xy+1)(xy+x+y+1)+xy
即(xy+1)(xy+1+x+y)+xy
将(xy+1)当做一个整体,展开得
(xy+1)^2+(xy+1)(x+y)+xy
十字相乘法,得
(xy+x+1)(xy+y+1)
答案:(xy+1)(x+1)(y+1)+xy = (xy+x+1)(xy+y+1)

(xy+1)(x+1)(y+1)+xy = (xy+x+1)(xy+y+1)

(xy+1))(x+1)(y+1)+xy
=(xy+1)(xy+x+y+1)+xy
=(xy+1)^2+(xy+1)(x+y)+xy
=(xy+1+x)(xy+1+y)

(xy+1)(x+1)(y+1)+xy
=x^2y^2+x^2y+xy^2+2xy+x+y+1
=(x^2y^2+2xy+1)+(x+y)+(x^2y+xy^2)
=(xy+1)^2+(x+y)+xy(x+y)
=(xy+1)^2+(x+y)(xy+1)
=(xy+1)(x+y+1)

x (a 1)-xy(x-y)(a-b) y (b 1) =x (a-b b 1)-xy(x-y)(a-b) y (b 1) =x (a-b) x (b 1)-xy(x-y)(a-b) y (b 1