
设x=-2又1/2求6x+(x/x-2-x/x+2)/4x/x^4-2x^3+8x-16
展开全部
设x=-2又1/2
6x+(x/x-2-x/x+2)/4x/x^4-2x^3+8x-16
=6x+x(1/x-2 -1/x+2)*(x^4-2x³+8x-16)/4x
=6x+x((x+2-x+2)/(x-2)(x+2))*(x^3(x-2)+8(x-2))/4x
=6x+(4x/(x-2)(x+2))*((x^3+8)(x-2)/4x)
=6x+(4x/(x-2)(x+2))*((x+2)(x^2-2x+4)(x-2)/4x)
=6x+x^2-2x+4
=x^2+4x+4
=(x+2)^2
=(-5/2+2)^2
=1/4
6x+(x/x-2-x/x+2)/4x/x^4-2x^3+8x-16
=6x+x(1/x-2 -1/x+2)*(x^4-2x³+8x-16)/4x
=6x+x((x+2-x+2)/(x-2)(x+2))*(x^3(x-2)+8(x-2))/4x
=6x+(4x/(x-2)(x+2))*((x^3+8)(x-2)/4x)
=6x+(4x/(x-2)(x+2))*((x+2)(x^2-2x+4)(x-2)/4x)
=6x+x^2-2x+4
=x^2+4x+4
=(x+2)^2
=(-5/2+2)^2
=1/4
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