x/x+2-x²+2x+1/x+2 ÷ x²-1/x-1=x/(x+2)-(x+1)²/(x+2) ÷(x+1)(x-1)/(x-1)=x/(x+2)-(x+1)²/(x+2) ×1/(x+1)=x/(x+2)-(x+1)/(x+2)=(x-x-1)/(x+2)=﹣1/(x+2)将x=√3-2代入原式=﹣1/(x+2) =﹣1/√3-2+2 =﹣√3/3