计算【(x+1)分之(x-1)-(x+2)分之(x+1)】/(x的平方+4x+4)分之(x+3)_数学解答

计算【(x+1)分之(x-1)-(x+2)分之(x+1)】/(x的平方+4x+4)分之(x+3)

人气：296 ℃　时间：2020-02-26 05:49:39

解答

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