1/﹙2x+3﹚+21/﹙2x³+3x²-2x-3﹚－3／﹙x²－1﹚－1／﹙2x²＋5x＋3﹚＝0

1/﹙2x+3﹚+21/﹙2x³+3x²-2x-3﹚－3／﹙x²－1﹚－1／﹙2x²＋5x＋3﹚＝0
1/﹙2x+3﹚+21/﹙2x³+3x²-2x-3﹚－3／﹙x²－1﹚－1／﹙2x²＋5x＋3﹚＝0

1/﹙2x+3﹚+21/﹙2x³+3x²-2x-3﹚－3／﹙x²－1﹚－1／﹙2x²＋5x＋3﹚＝0
2x³+3x²-2x-3=x²(2x+3)-(2x+3)=(x²-1)(2x+3)=(x+1)(x-1)(2x+3)
2x²＋5x＋3=(2x+3)(x+1)
1/﹙2x+3﹚+21/﹙2x³+3x²-2x-3﹚－3／﹙x²－1﹚－1／﹙2x²＋5x＋3﹚＝0
((x²-1)+21-3(2x+3)-(x-1))/(x+1)(x-1)(2x+3)＝0
即x²-1+21-6x-9-x+1=0
x²-7x+12=0
(x-3)(x-4)=0
解得x=3或x=4