分解因式﹕﹙x2-1﹚﹙x4+x2+1﹚-﹙x3+1﹚2．
问题描述：
分解因式﹕﹙x2-1﹚﹙x4+x2+1﹚-﹙x3+1﹚2．
答
解﹕﹙x2-1﹚﹙x4+x2+1﹚-﹙x3+1﹚2
=﹙x6-1﹚-﹙x3+1﹚2
=﹙x3+1﹚﹙x3-1﹚-﹙x3+1﹚2
=﹙x3+1﹚﹙x3-1-x3-1﹚
=-2（x+1）（x2-x+1）．