
把代数式(x+y-2xy)(x+y-2)+(xy-1)2分解成因式的乘积,应当是______
把代数式(x+y-2xy)(x+y-2)+(xy-1)2分解成因式的乘积,应当是______....
把代数式(x+y-2xy)(x+y-2)+(xy-1)2分解成因式的乘积,应当是______.
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(x+y-2xy)(x+y-2)+(xy-1)2
=(x+y)2-2xy(x+y)-2(x+y)+4xy+x2y2-2xy+1
=(x+y)2-2(x+y)(xy+1)+(xy+1)2
=(x+y-xy-1)2
=(x-1)2?(y-1)2.
故答案为(x-1)2?(y-1)2.
=(x+y)2-2xy(x+y)-2(x+y)+4xy+x2y2-2xy+1
=(x+y)2-2(x+y)(xy+1)+(xy+1)2
=(x+y-xy-1)2
=(x-1)2?(y-1)2.
故答案为(x-1)2?(y-1)2.
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