计算题:(3x^2+14x+16)/(x+3)-(2x^2-10x+13)/(x-3)-(x^3-9x^2-9x+75)/(x^2-9)

问题描述:

计算题:(3x^2+14x+16)/(x+3)-(2x^2-10x+13)/(x-3)-(x^3-9x^2-9x+75)/(x^2-9)

(3x^2+14x+16)/(x+3)-(2x^2-10x+13)/(x-3)-(x^3-9x^2-9x+75)/(x^2-9)=(3x^2+9x+5x+15+1)/(x+3)-(2x^2-6x-4x+12+1)/(x-3)-(x^3-9x-9x^2+81-6)/(x^2-9)=(3x^2+9x)/(x+3)+(5x+15)/(x+3)+1/(x+3)-[(2x^2-6x)/(x-3)-(4x-1...