作业帮已知a=-1,求[(a+3)分之（a²-a-6）]²乘以[(a²+a-6)分之（a-3)]的负二次方
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/10 12:36:14
![已知a=-1,求[(a+3)分之（a²-a-6）]²乘以[(a²+a-6)分之（a-3)]的负二次方](/uploads/image/z/3818998-46-8.jpg?t=%E5%B7%B2%E7%9F%A5a%3D-1%2C%E6%B1%82%5B%28a%2B3%29%E5%88%86%E4%B9%8B%EF%BC%88a%26%23178%3B-a-6%EF%BC%89%5D%26%23178%3B%E4%B9%98%E4%BB%A5%5B%28a%26%23178%3B%2Ba-6%29%E5%88%86%E4%B9%8B%EF%BC%88a-3%29%5D%E7%9A%84%E8%B4%9F%E4%BA%8C%E6%AC%A1%E6%96%B9)
已知a=-1,求[(a+3)分之（a²-a-6）]²乘以[(a²+a-6)分之（a-3)]的负二次方
已知a=-1,求[(a+3)分之（a²-a-6）]²乘以[(a²+a-6)分之（a-3)]的负二次方
已知a=-1,求[(a+3)分之（a²-a-6）]²乘以[(a²+a-6)分之（a-3)]的负二次方
[(a+3)分之（a²-a-6）]²乘以[(a²+a-6)分之（a-3)]的负二次方
=[(a-3)(a+2)/(a+3)×(a+3)(a-2)/(a-3)]²
=[(a+2)(a-2)]²
=(a²-4)²
=a的4次方-8a²+16
[(a²-a-6)/(a+3)]²*[(a-3)/(a²+a-6)]^(-2)
=[(a-3)(a+2)/(a+3)]²*[(a²+a-6)/(a-3)]²
=[(a-3)(a+2)/(a+3)*(a²+a-6)/(a-3)]²
=[(a-3)(a+2)/(a+3)*(a+3)(a-2)/(a-3)]²
=[(a+2)(a-2)]²
=(a²-4)²
=[(-1)²-4]²
=[1-4]²
=(-3)²
=9