化简求值y/(x-y)+y³/(x³-2x²y+xy²)÷(xy+y²)/(y²-x²)

问题描述:

化简求值y/(x-y)+y³/(x³-2x²y+xy²)÷(xy+y²)/(y²-x²)
其中x=2/3 y=-3

  y/(x-y)+y³/(x³-2x²y+xy²)÷(xy+y²)/(y²-x²)
  =y/(x-y)+y³/x(x-y)(x-y)÷[y(x+y)/(y-x)(y+x)]
  =y/(x-y)-y³/x(x-y)²÷[y/(x-y)]
  =y/(x-y)-y²/x(x-y)
  =y(x-y)/x(x-y)
  =y/x
  = - 9/2
  很高兴为你答疑,