当a=√3时,分式a²-1/a²-2a+1÷a+1/a³-a²的值为?
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![当a=√3时,分式a²-1/a²-2a+1÷a+1/a³-a²的值为?](/uploads/image/z/603018-18-8.jpg?t=%E5%BD%93a%3D%E2%88%9A3%E6%97%B6%2C%E5%88%86%E5%BC%8Fa%26%23178%3B-1%2Fa%26%23178%3B-2a%2B1%C3%B7a%2B1%2Fa%26%23179%3B-a%26%23178%3B%E7%9A%84%E5%80%BC%E4%B8%BA%3F)
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