1.2004*20052005-2005*200420042.分解因式(x+y)(x+y+2)+(xy+1)(xy-1)请务必有较为完整的步骤

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1.2004*20052005-2005*200420042.分解因式(x+y)(x+y+2)+(xy+1)(xy-1)请务必有较为完整的步骤
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1.2004*20052005-2005*200420042.分解因式(x+y)(x+y+2)+(xy+1)(xy-1)请务必有较为完整的步骤
1.2004*20052005-2005*20042004
2.分解因式(x+y)(x+y+2)+(xy+1)(xy-1)
请务必有较为完整的步骤

1.2004*20052005-2005*200420042.分解因式(x+y)(x+y+2)+(xy+1)(xy-1)请务必有较为完整的步骤
答案:0
可以简算:
2004*20052005-2005*20042004
=2004*2005*10001-2005*2004*10001
=0
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)