作业帮计算[x²-x-2/x²-x-6]/[x²+x-6/x²+x-2]的结果是.
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/04 06:57:17
![计算[x²-x-2/x²-x-6]/[x²+x-6/x²+x-2]的结果是.](/uploads/image/z/1629464-32-4.jpg?t=%E8%AE%A1%E7%AE%97%5Bx%26%23178%3B-x-2%2Fx%26%23178%3B-x-6%5D%2F%5Bx%26%23178%3B%2Bx-6%2Fx%26%23178%3B%2Bx-2%5D%E7%9A%84%E7%BB%93%E6%9E%9C%E6%98%AF.)
计算[x²-x-2/x²-x-6]/[x²+x-6/x²+x-2]的结果是.
计算[x²-x-2/x²-x-6]/[x²+x-6/x²+x-2]的结果是.
计算[x²-x-2/x²-x-6]/[x²+x-6/x²+x-2]的结果是.
原式=[(x²-x-2)/(x²-x-6)]÷[(x²+x-6)/(x²+x-2)]
=[(x-2)(x+1)]/[(x-3)(x+2)] ÷[(x-2)(x+3)]/[(x-1)(x+2)]
=[(x-2)(x+1)]/[(x-3)(x+2)] ×[(x-1)(x+2)]/[(x-2)(x+3)]
=[(x+1)(x-1)]/[(x+3)(x-3)]
化简原式=[(x-2)(x+1)/(x-3)(x+2)].[(x+2)(x-1)/(x+3)(x-2)]=(x+1)(x-1)/(x+3)(x-3)=(x²-1)/(x²-9)
[(x-1)(x+1)]/[(x-3)(x+3)]