解:﹙x-y﹚+﹙y-x﹚³ =﹙x-y﹚-﹙x-y﹚³ =﹙x-y﹚[﹙1-﹙x-y﹚²] =﹙x-y﹚﹙1-x+y﹚﹙1+x-y﹚.
=(y-x)^3-(y-x)=(y-x)[(y-x)^2-1]=(y-x)(y-x+1)(y-x-1)
(x-y)+(y-x)³=(y-x)^3-(y-x)=(y-x)[(y-x)²-1]=(y-x)(y-x+1)(y-x-1)