问题:

a4+a3-3a2-4a-4因式分解

更新时间:2024-04-27 18:11:30

问题描述:

钱鲁峰回答:

  a4+a3-3a2-4a-4

  =a²(a²+a-2)-(a²+4a+4)

  =a²(a+2)(a-1)-(a+2)²

  =(a+2)(a³-a²-a-2)

  =(a+2)(a³-a²-2a+a-2)

  =(a+2)[a(a-2)(a+1)+(a-2)]

  =(a+2)(a-2)(a²+a+1)

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