X+7/X+1+X+8/X+2-X+9/X+3-X+10/X+4 的解法

问题描述:

X+7/X+1+X+8/X+2-X+9/X+3-X+10/X+4 的解法

(x+7)/(x-1)-(x+10)/(x+4)+(x+8)/(x+2)-(x+9)/(x+3)=[(x+10)-(x+7)]/[(x+1)(x+4)]+[(x+9)-(x+8)]/[(x+2)(x+3)]=3/(x^2+5x+4)+1/(x^2+5x+6)=[3(x^2+5x+6)+x^2+5x+4]/[(x+1)(x+2)(x+3)(x+4)]=(4x^2+20x+22)/[(x+1)(x+2...