化简:(1/X+1)-(X+3/X^2-1)÷((X+3)*(X+1)/(X^2_2X+1))

问题描述:

化简:(1/X+1)-(X+3/X^2-1)÷((X+3)*(X+1)/(X^2_2X+1))

(1/X+1)-(X+3/X^2-1)÷((X+3)*(X+1)/(X^2-2X+1))=1/(x+1)-(x+3)/(x-1)(x+1)÷[(x+3)*(x+1)/(x-1)^2=1/(x+1)-(x+3)/(x-1)(x+1)*(x-1)^2/(x+3)*(x+1)=1/(x+1)-1/(x+1)*(x-1)/(x+1)=1/(x+1)-(x-1)/(x+1)^2=(x...