设(x-1)^5=ax^5+bx^4+cx^3+dx^2+ex+f,则a-b+c-d+e-f=?
问题描述:
设(x-1)^5=ax^5+bx^4+cx^3+dx^2+ex+f,则a-b+c-d+e-f=?
答
代入x=-1,有-2^5=-32=-(a-b+c-d+e-f);故a-b+c-d+e-f=32
设(x-1)^5=ax^5+bx^4+cx^3+dx^2+ex+f,则a-b+c-d+e-f=?
代入x=-1,有-2^5=-32=-(a-b+c-d+e-f);故a-b+c-d+e-f=32