先化简,再求值:[1/(x-3)]×[(x的三次方-6x²+9x)/(x²-2x)]-[(1-x)/(2-x)],其中x=-6

问题描述:

先化简,再求值:[1/(x-3)]×[(x的三次方-6x²+9x)/(x²-2x)]-[(1-x)/(2-x)],其中x=-6

[1/(x-3)]×[(x³-6x²+9x)/(x²-2x)]-[(1-x)/(2-x)]
=1/(x-3)* x*(x-3)²/[x(x-2)] - (1-x)/(2-x)
=(x-3)/(x-2)-(1-x)/(2-x)
=-2/(x-2)
=-2/(-6-2)
=1/4
如果认为讲解不够清楚,