8(x+y)^8(x-y)^6÷[2(x+y)^3·(x-y)^3]^2=
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8(x+y)^8(x-y)^6÷[2(x+y)^3·(x-y)^3]^2

=8(x+y)^8(x-y)^6÷[4(x+y)^6·(x-y)^6]

=2(x+y)^(8-6)(x-y)^(6-6)

=2(x+y)²

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