先化简 再求值 (X2-4⼀X2-4X+4 - X-2⼀X+2) ÷X尀X-2 其中X=2√3-2

2024-12-19 13:50:31
推荐回答(1个)
回答1:

[(X^2-4)/(X^2-4X+4)-(X-2)/(X+2)]÷[X/(X-2)]
=[(x-2)(x+2)/(x-2)^2-(x-2)/(x+2)]×(x-2)/x
=[(x+2)/(x-2)-(x-2)/(x+2)]×(x-2)/x
={[(x+2)^2-(x-2)^2/[(x-2)(x+2)]}×(x-2)/x
=8x/[(x-2)(x+2)]}×(x-2)/x
=8/(x+2)
=8/(2√3-2+2)
=4/3√3