(a-1)[1-(a+1)÷(a-1/a)]

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(a-1)[1-(a+1)÷(a-1/a)]
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(a-1)[1-(a+1)÷(a-1/a)]
(a-1)[1-(a+1)÷(a-1/a)]

(a-1)[1-(a+1)÷(a-1/a)]
(a-1)[1-(a+1)÷(a-1/a)]
=a-1-(a-1)(a+1)÷(a-1)/a
=a-1-a(a+1)
=a-1-a²-1
=-a²-a-2
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