化简:【(x²-1)分之(3x+4)-(x-1)分之2】÷(x²-2x+1)分之(x+2)

问题描述:

化简:【(x²-1)分之(3x+4)-(x-1)分之2】÷(x²-2x+1)分之(x+2)

[(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)