化简 [(x-y)^2(x+y)^-2/2(x+y)^2(x-y)^-2]^-3

化简 [(x-y)^2(x+y)^-2/2(x+y)^2(x-y)^-2]^-3
化简 [(x-y)^2(x+y)^-2/2(x+y)^2(x-y)^-2]^-3

化简 [(x-y)^2(x+y)^-2/2(x+y)^2(x-y)^-2]^-3
解!
[(x-y)^2(x+y)^-2/2(x+y)^2(x-y)^-2]^-3
=[（x-y)^2/(x+y)^2*(x-y)^2/2(x+y)^2]^-3
=[(x-y)^4/2(x+y)^4]^-3
=8(x+y)^12/(x-y)^12
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