2x/x²-64y²-1/x-8y

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2x/x²-64y²-1/x-8y

2x/(x²-64y²)-1/(x-8y)
=2x/(x+8y)(x-8y)-(x+8y)/(x-8y)(x+8y)
=(x-8y)/(x+8y)(x-8y)
=1/(x+8y)