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
∵a=√3
∴原式=3

=3-1/3-2√3+1/√3+1/3√3-3=(-14√3-3)/9