先化简再求值:(x+2⼀x눀-2x - x-1⼀x눀-4x+4)÷ x-4⼀x,其中x=3⼀2

2024-12-04 03:45:22
推荐回答(1个)
回答1:

(x+2/x²-2x - x-1/x²-4x+4)÷ x-4/x
={(x+2)(x-2)/[x(x-2)²]-x(x-1)/[x(x-2)²] } ·x/(x-4)
={(x²-4-x²+x)/[x(x-2)²] } ·x/(x-4)
=(x-4)/[x(x-2)²] ·x/(x-4)
=1/(x-2)²
=1/(3/2-2)²
=1/(-1/2)²
=4