作业帮计算：a²-5a+6/a²-16÷[(a-3/a+4)·(a²-4/a²+5a+4)]
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/16 00:46:08
![计算：a²-5a+6/a²-16÷[(a-3/a+4)·(a²-4/a²+5a+4)]](/uploads/image/z/2114625-57-5.jpg?t=%E8%AE%A1%E7%AE%97%EF%BC%9Aa%26%23178%3B-5a%2B6%2Fa%26%23178%3B-16%C3%B7%5B%28a-3%2Fa%2B4%29%C2%B7%28a%26%23178%3B-4%2Fa%26%23178%3B%2B5a%2B4%29%5D)
计算：a²-5a+6/a²-16÷[(a-3/a+4)·(a²-4/a²+5a+4)]
计算：a²-5a+6/a²-16÷[(a-3/a+4)·(a²-4/a²+5a+4)]
计算：a²-5a+6/a²-16÷[(a-3/a+4)·(a²-4/a²+5a+4)]
(a²-5a+6)/(a²-16)÷[(a-3)/(a+4)·(a²-4)/(a²+5a+4)]
=(a²-5a+6)/(a²-16)÷[(a-3)(a²-4)/(a+4)(a²+5a+4)]
=(a²-5a+6)/(a²-16)*(a+4)(a²+5a+4)/(a-3)(a²-4)
=(a-2)(a-3)/(a-4)(a+4)*(a+4)(a²+5a+4)/(a-3)(a²-4)
=(a-2)/(a-4)*(a²+5a+4)/(a²-4)
=(a-2)/(a-4)*(a+1)(a+4)/(a-2)(a+2)
=1/(a-4)*(a+1)(a+4)/(a+2)
=(a+1)(a+4)/(a-4)(a+2)
=(a²+5a+4)/(a²-2a-8)
a²-5a+6/a²-16÷[(a-3/a+4)·(a²-4/a²+5a+4)]
(a-2)(a-3)/(a-4)(a+4) * (a+4)/(a-3) * (a+4)(a+1)/(a-2)(a+2)
=[(a+4)(a+1)]/[(a-4)(a+2) ]