Question

(a²-1)/(a²-2a+1)÷(a+1)/(a³-a²),其中a=√3。

要有过程解答。

Answer 1

(a²-1)/(a²-2a+1)÷(a+1)/(a³-a²),
=(a+1)(a-1)/(a-1)^2/(a+1)/a^2(a-1)
=(a+1)/(a-1)*a^2(a-1)/(a+1)
=a^2
=3

Answer 2

(a²-1)/(a²-2a+1)÷(a+1)/(a³-a²)=[(a+1)(a-1)]/(a-1)^2÷(a+1)/[a^2(a-1)]
=(a+1)/(a-1)÷(a+1)/[a^2(a-1)]={(a+1)/(a-1)}*{[a^2(a-1)]/(a+1)}=a^2=3