若X的平方减Y的平方减X加Y等于X减Y的差乘A,则A等于
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x^2-y^2-x+y=(x-y)A
(x-y)(x+y)-(x-y)=(x-y)A
(x-y)(x+y-1)=(x-y)A
(x-y)(x+y-1)-(x-y)A=0
(x-y)(x+y-1-A)=0
(x-y)=0或(x+y-1-A)=0
x=y或A=x+y-1
所以当x=y时,A为任意实数;或A=x+y-1
(x-y)(x+y)-(x-y)=(x-y)A
(x-y)(x+y-1)=(x-y)A
(x-y)(x+y-1)-(x-y)A=0
(x-y)(x+y-1-A)=0
(x-y)=0或(x+y-1-A)=0
x=y或A=x+y-1
所以当x=y时,A为任意实数;或A=x+y-1
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