先化简分式(a/a+2+2/a-2)÷1/a²-4

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先化简分式(a/a+2+2/a-2)÷1/a²-4
先化简分式(a/a+2+2/a-2)÷1/a²-4

先化简分式(a/a+2+2/a-2)÷1/a²-4
(a/a+2+2/a-2)÷1/a²-4
=(a(a-2)/(a²-4)+2(a+2)/(a²-4))÷1/a²-4
=(a²-2a+2a+4)/(a²-4)÷(1/(a²-4))
=(a²+4)/(a²-4)×(a²-4)
=a²+4