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分解因式﹕﹙x2-1﹚﹙x4+x2+1﹚-﹙x3+1﹚2.

题目详情
分解因式﹕﹙x2-1﹚﹙x4+x2+1﹚-﹙x3+1﹚2
▼优质解答
答案和解析
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).