化简再求值：(x-2)/(x^2-9){1+[2x-7/(x^2-4x+4)]}/[1/(x+3)] (其中x=3/4)_数学解答

化简再求值：(x-2)/(x^2-9){1+[2x-7/(x^2-4x+4)]}/[1/(x+3)] (其中x=3/4)

人气：213 ℃　时间：2020-02-05 07:45:42

解答

(x-2)/(x^2-9){1+[2x-7/(x^2-4x+4)]}/[1/(x+3)] (其中x=3/4)(x-2)/(x^2-9){1+[2x-7/(x^2-4x+4)]}/[1/(x+3)] = (x-2)/[(x+3)(x-3)]{1+[2x-7/(x-2)^2]}(x+3)= (x-2)/(x-3){1+[2x-7/(x-2)^2]}= (x-2)[1+2x-7/(x-2)^2]/(...