✔ 最佳答案
1/(1-x) + ((x-4)(x+2)/(16-x²) / ((x²+2x)/(x²+4x))
= 1/(1-x) + ((x-4)(x+2)/((4-x)(4+x)) / ((x²+2x)/(x²+4x))
= 1/(1-x) - ((x+2)/(x+4)) / ((x²+2x)/(x²+4x))
= 1/(1-x) - ((x+2)/(x+4)) / ( x(x+2)/(x(x+4)) )
= 1/(1-x) - 1
= 1/(1-x) - (1-x)/(1-x)
= x / (1 - x)