这个,解一道分式,(x^2-2x+1)/(x^2-1)+(1)/(x)÷(1)/(x+1)_数学解答

这个,解一道分式,
(x^2-2x+1)/(x^2-1)+(1)/(x)÷(1)/(x+1)

人气：145 ℃　时间：2020-05-14 18:14:36

解答

=[(x-1)^2/(x+1)(x-1)]+(1/x)×(x+1)
=(x-1)/(x+1)+(x+1)/x
=[x(x-1)+(x+1)^2]/x(x+1)
=(x^2-x+x^2+2x+1)/x(x+1)
=(2x^2+x+1)/(x^2+x)