(6x-1)(2x-1)(3x-1)(x-1)+x 因式分解
问题描述:
(6x-1)(2x-1)(3x-1)(x-1)+x 因式分解
答
(6x-1)(2x-1)(3x-1)(x-1)+x^2 =(6x^2-7x+1)(6x^2-5x+1)+x^2 =[(6x^2+1)-7x][(6x^2+1)-5x]+x^2 =(6x^2+1)^2-12x(6x^2+1)+36x^2 =(6x^2+1-6x)^2
答
(6x-1)(2x-1)(3x-1)(x-1)+x =[(2x-1)(3x-1)][(6x-1)(x-1)]+x =(6x-5x+1)(6x-7x+1)+x =[(6x-6x+1)+x][(6x-6x+1)-x]+x =(6x-6x+1)-x+x =(6x-6x+1)