[(3x+4)/(x²-1)-2/(x-1)]÷(x+2)/(x²-2x+1)=[(3x+4)/(x²-1)-2(x+1)/(x²-1)]÷(x+2)/(x-1)²=(x-2)/(x²-1)÷(x+2)/(x-1)²=(x-1)(x-2)/(x+1)(x+2)