先化简再求值【[1⼀(x+2)]-1】÷(x^2+2x+1)⼀(x^2-4),其中x=-2

2024-12-05 06:11:59
推荐回答(1个)
回答1:

解:
【[1/(x+2)]-1】÷[(x^2+2x+1)/(x^2-4)],
=[1-(x+2)]/(x+2)÷{(x+1)²/[(x+2)(x-2)]}
=-(x+1)/(x+2)·[(x+2)(x-2)]/(x+1)²
=-1/[(x-2)(x+1)]
把x=-2代入上式
=-1/[(-2-2)×(-2+1)]
=-1/4