1/(x+2)(x+4)+1/(x+4)(x+6)+1/(x+6)(x+8)=2/(3x+24)
两边同×2得
2/(x+2)(x+4)+2/(x+4)(x+6)+2/(x+6)(x+8)=4/(3x+24）
1/(x+2)-1/(x+4)+1/(x+4)-1/(x+6)+1/(x+6)-1/(x+8)=4/3(x+8)
1/(x+2)-1/(x+8)=4/3(x+8)
3(x+8)-3(x+2)=4(x+2)
3x+24-3x-6=4x+8
4x=10
x=2.5
检验x=2.5是方程的根
【这里采用的是拆项法,