当a=√3时,分式a²-1/a²-2a+1÷a+1/a³-a²的值为?

当a=√3时,分式a²-1/a²-2a+1÷a+1/a³-a²的值为?
当a=√3时,分式a²-1/a²-2a+1÷a+1/a³-a²的值为?

当a=√3时,分式a²-1/a²-2a+1÷a+1/a³-a²的值为?
(a²-1)/(a²-2a+1)÷(a+1)/(a³-a²)
=[(a+1)(a-1)/(a-1)²]×[a²(a-1)/(a+1)]
=a²
=(√3)²
=3