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)
问题描述:
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)
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]/(...