(x-1)/(x+1)-4x/(1-x^2) 计算

问题描述:

(x-1)/(x+1)-4x/(1-x^2) 计算


(x-1)/(x+1)-4x/(1-x²)
=(x-1)²/(x+1)(x-1)+4x/(x²-1)
=(x²-2x+1)/(x+1)(x-1)+4x/(x-1)(x+1)
=(x²-2x+1+4x)/(x+1)(x-1)
=(x²+2x+1)/(x+1)(x-1)
=(x+1)²/(x+1)(x-1)
=(x+1)/(x-1)

原式=(x-1)²/(x+1)(x-1)+4x/(x+1)(x-1)
=(x²-2x+1+4x)/(x+1)(x-1)
=(x²+2x+1)/(x+1)(x-1)
=(x+1)²/(x+1)(x-1)
=(x+1)/(x-1)