计算1/(x^2-3x+2)+1/(x^2-5x+6)+1/(x^2-4x+3)_数学解答

计算1/(x^2-3x+2)+1/(x^2-5x+6)+1/(x^2-4x+3)

人气：256 ℃　时间：2020-01-29 11:14:14

解答

=1/(x-2)(x-1)+1/(x-2)(x-3)+1/(x-3)(x-1)
=(x-3+x-1+x-2)/(x-1)(x-2)(x-3)
=3(x-2)/(x-1)(x-2)(x-3)
=2/(x-1)(x-3)