数学分式化简计算x+[1/(x-1)]+[(x^2-3x+4)/(1-x^2)]_数学解答

数学分式化简计算
x+[1/(x-1)]+[(x^2-3x+4)/(1-x^2)]

人气：203 ℃　时间：2020-04-15 04:39:01

解答

原式=x+[1/(x-1)]-[(x-4)(x-1)/(x-1)(x+1)]
=x+[1/(x-1)]-[(x-4)/(x+1)]……(x≠1)
=x+1/(x-1)-{[(x+1)-5]/(x+1)}
=x+1/(x-1)+5/(x+1)-1