化简(x²+3x+9/x³-27)+(6/9-x² )-(x-1/6+2x)

问题描述:

化简(x²+3x+9/x³-27)+(6/9-x² )-(x-1/6+2x)
是x的三次方-27

(x²+3x+9/x³-27)+(6/9-x² )-(x-1/6+2x)
=(x²+3x+9/(x-3)(x³+3x+9))+(6/9-x² )-(x-1/6+2x)
=1/(x-3)+(6/9-x² )-(x-1/3+x)*1/2
=(x+3-6-((x-1)(x-3)/2))/(x^2-9)
=1/2(x-3)(2-x+1)/(x^2-9)
=1/2(3-x/x+3)