4xy/x方-y方+x-y/x+y=

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4xy/x方-y方+x-y/x+y=
4xy/x方-y方+x-y/x+y=

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

4xy/(x²-y²)+(x-y)/(x+y)
=4xy/(x-y)(x+y)+(x-y)²/(x-y)(x+y)
=(4xy+x²-2xy+y²)/(x-y)(x+y)
=(x+y)²/(x-y)(x+y)
=(x+y)/(x-y)

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

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