化简[x-y+4xy/(x-y)][x+y-4xy/(x-y)]

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化简[x-y+4xy/(x-y)][x+y-4xy/(x-y)]

化简[x-y+4xy/(x-y)][x+y-4xy/(x-y)]
化简[x-y+4xy/(x-y)][x+y-4xy/(x-y)]

化简[x-y+4xy/(x-y)][x+y-4xy/(x-y)]
原式={x-[y-4xy/(x-y)]}{x+[y-4xy(x-y)]}
=x²-[y-4xy(x-y)]
=x²-y+4xy(x-y)
=x²-y+4x²y-4xy²

[x-y+4xy/(x-y)] * [x+y-4xy/(x+y)]
=[(x-y)^2+4xy]/(x-y)*[(x+y)^2-4xy]/(x+y)
=(x^2+2xy+y^2)/(x-y)*(x^2-2xy+y^2)/(x+y)
=(x+y)^2/(x-y)*(x-y)^2/(x+y)
=(x+y)/(x-y)