x(2-1/x)+x/(x^2-2x)÷(3-x)/(x^2-4)

题目

x(2-1/x)+x/(x^2-2x)÷(3-x)/(x^2-4)
2.2/3+x/(3x-1)=1/9x-3

答案

x(2-1/x)+x/(x^2-2x)÷(3-x)/(x^2-4)
=x((2x-1)/x)+x/(x^2-2x)x(x^2-4)/(3-x)
=(2x-1)+(x+2)/(3-x)
=(7x-3-2x^2+x+2)/(3-x)
=(8x-1-2x^2)/(3-x)