化简计算:[x-y+4xy/(x-y)] * [x+y-4xy/(x+y)]

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化简计算:[x-y+4xy/(x-y)] * [x+y-4xy/(x+y)]

化简计算:[x-y+4xy/(x-y)] * [x+y-4xy/(x+y)]
化简计算:[x-y+4xy/(x-y)] * [x+y-4xy/(x+y)]

化简计算:[x-y+4xy/(x-y)] * [x+y-4xy/(x+y)]
[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)

:[x-y+4xy/(x-y)] * [x+y-4xy/(x+y)]
=[(x-y)²+4xy]/(x-y)*[(x+y)²-4xy]/(x+y)
=(x²-2xy+y²+4xy)/(x-y)*(x²+2xy+y²-4xy)/(x+y)
=(x+y)²/(x+y)*(x-y)²/(x+y)
=(x+y)(x-y)
=x²-y²