
X^4+2x^3-3x^2-4x+4,因式分解
1个回答
展开全部
x4次方+2x³-3x²-4x+4
=x²﹙x²+2x-3﹚-﹙4x-4﹚
=x²﹙x+3﹚﹙x-1﹚-4﹙x-1﹚
=﹙x-1﹚[x²﹙x+3﹚-4]
=﹙x-1﹚﹙x³+3x²-4﹚
=﹙x-1﹚[﹙x³-1﹚+﹙3x²-3﹚]
=﹙x-1﹚[﹙x-1﹚﹙x²+x+1﹚+3﹙x²-1﹚]
=﹙x-1﹚[﹙x-1﹚﹙x²+x+1﹚+3﹙x+1﹚﹙x-1﹚]
=﹙x-1﹚﹙x-1﹚[﹙x²+x+1﹚+3﹙x+1﹚]
=﹙x-1﹚²﹙x²+x+1+3x+3﹚
=﹙x-1﹚²﹙x²+4x+4﹚
=﹙x-1﹚²﹙x+2﹚²
=x²﹙x²+2x-3﹚-﹙4x-4﹚
=x²﹙x+3﹚﹙x-1﹚-4﹙x-1﹚
=﹙x-1﹚[x²﹙x+3﹚-4]
=﹙x-1﹚﹙x³+3x²-4﹚
=﹙x-1﹚[﹙x³-1﹚+﹙3x²-3﹚]
=﹙x-1﹚[﹙x-1﹚﹙x²+x+1﹚+3﹙x²-1﹚]
=﹙x-1﹚[﹙x-1﹚﹙x²+x+1﹚+3﹙x+1﹚﹙x-1﹚]
=﹙x-1﹚﹙x-1﹚[﹙x²+x+1﹚+3﹙x+1﹚]
=﹙x-1﹚²﹙x²+x+1+3x+3﹚
=﹙x-1﹚²﹙x²+4x+4﹚
=﹙x-1﹚²﹙x+2﹚²
本回答被提问者采纳
已赞过
已踩过<
评论
收起
你对这个回答的评价是?
推荐律师服务:
若未解决您的问题,请您详细描述您的问题,通过百度律临进行免费专业咨询