分解因式:(X+Y)*(X+Y+2XY)+(XY+1)*(XY-1)
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分解因式:(X+Y)*(X+Y+2XY)+(XY+1)*(XY-1)
分解因式:(X+Y)*(X+Y+2XY)+(XY+1)*(XY-1)
分解因式:(X+Y)*(X+Y+2XY)+(XY+1)*(XY-1)
原式=(x+y)(x+y)+2(x+y)xy+(xy)^2-1^2
=(x+y)^2+2(x+y)xy+(xy)^2-1
=(x+y+xy)^2-1
=(x+y+xy-1)(x+y+xy+1)
=(x+y+xy-1)(x+1)(y+1)
分解因式:(X+Y)*(X+Y+2XY)+(XY+1)*(XY-1)
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