一道分解因式
展开全部
x^5+3x^4y-5x^3y^2-15x^2y^3+4xy^4+12y^5
=x^5-5x^3y^2+4xy^4+12y^5-15x^2y^3+3x^4y
=x(x^4-5x^2y^2+4y^4)+3y(x^4-5x^2y^2+4y^4)
=(x+3y)(x^4-5x^2y^2+4y^4)
=(x+3y)(x^2-4y^2)(x^2-y^2)
=(x+3y)(x-2y)(x+2y)(x+y)(x-y)
=x^5-5x^3y^2+4xy^4+12y^5-15x^2y^3+3x^4y
=x(x^4-5x^2y^2+4y^4)+3y(x^4-5x^2y^2+4y^4)
=(x+3y)(x^4-5x^2y^2+4y^4)
=(x+3y)(x^2-4y^2)(x^2-y^2)
=(x+3y)(x-2y)(x+2y)(x+y)(x-y)
本回答由提问者推荐
已赞过
已踩过<
评论
收起
你对这个回答的评价是？
展开全部
x^5+3x^4y-5x^3y^2-15x^2y^3+4xy^4+12y^5
=x^5-5x^3y^2+4xy^4+12y^5-15x^2y^3+3x^4y
=x(x^4-5x^2y^2+4y^4)+3y(x^4-5x^2y^2+4y^4)
=(x+3y)(x^4-5x^2y^2+4y^4)
=(x+3y)(x^2-4y^2)(x^2-y^2)
=(x+3y)(x-2y)(x+2y)(x+y)(x-y)
我是老师 谢谢采纳
=x^5-5x^3y^2+4xy^4+12y^5-15x^2y^3+3x^4y
=x(x^4-5x^2y^2+4y^4)+3y(x^4-5x^2y^2+4y^4)
=(x+3y)(x^4-5x^2y^2+4y^4)
=(x+3y)(x^2-4y^2)(x^2-y^2)
=(x+3y)(x-2y)(x+2y)(x+y)(x-y)
我是老师 谢谢采纳
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
