we want you 矢量:16(6x-1)(2x-1)(3x+1)(x-1)+25分解因式

来源:百度文库 编辑:神马品牌网 时间:2024/05/01 10:01:41
多谢帮忙!!

解】16(6x-1)(2x-1)(3x+1)(x-1)+25
=(6x-1)(4x-2)(6x+2)(4x-4)+25
=(24x^2-16x+2) (24x^2-16x-8)+25

设 24x^2-16x+2=t,

则原式=t(t-10)+25=(t-5)2=(24x^2-16x-3)^2

16(6x-1)(2x-1)(3x+1)(x-1)+25
=(6x-1)(4x-2)(6x+2)(4x+4)+25
=(24x^2-16x+2) (24x^2-16x-8)+25

设 24x^2-16x+2=Y,

原式=Y(Y-10)+25=(Y-5)^2=(24x^2-16x-3)^2