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(x-y+x-y分之4xy)(x+y-x+y分之4xy)的结果等于几啊?
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(x-y+x-y分之4xy)(x+y-x+y分之4xy)的结果等于几啊?
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答案和解析
[(x-y)+4xy/(x-y)][(x+y)-4xy/(x+y)]
=[(x-y)^2+4xy]/(x-y)*[(x+y)^2-4xy]/(x+y)
=(x+y)^2/(x-y)*(x-y)^2/(x+y)
=(x-y)(x+y)
=[(x-y)^2+4xy]/(x-y)*[(x+y)^2-4xy]/(x+y)
=(x+y)^2/(x-y)*(x-y)^2/(x+y)
=(x-y)(x+y)
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