化简：a³-a²-a+1/a³-3a²+3a-1

题目

化简：a³-a²-a+1/a³-3a²+3a-1

答案

(a³-a²-a+1)/(a³-3a²+3a-1)
=(a-1)(a²-1)/(a-1)³
=(a-1)(a-1)(a+1)/(a-1)³
=(a+1)/(a-1)
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