分解因式:(6x-1)(2x-1)(3x-1)(x-1)+x2

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/17 09:43:28
分解因式:(6x-1)(2x-1)(3x-1)(x-1)+x2分解因式:(6x-1)(2x-1)(3x-1)(x-1)+x2分解因式:(6x-1)(2x-1)(3x-1)(x-1)+x2(6x-1)(

分解因式:(6x-1)(2x-1)(3x-1)(x-1)+x2
分解因式:(6x-1)(2x-1)(3x-1)(x-1)+x2

分解因式:(6x-1)(2x-1)(3x-1)(x-1)+x2
(6x-1)(2x-1)(3x-1)(x-1)+x^2
=[(6x-1)(x-1)][(2x-1)(3x-1)]+x^2
=[(6x^2+1)-7x][(6x^2+1)-5x]+x^2
=(6x^2+1)^2-12x(6x^2+1)+35x^2+x^2
=(6x^2+1)^2-12x(6x^2+1)+36x^2
=(6x^2+1)^2-2*(6x)*(6x^2+1)+(6x)^2
=(6x^2-6x+1)^2

=(6x^2-7x+1)(6x^2-5x+1)+x^2
=(6x^2+1)^2-12x(6x^2+1)+36x^2
=(6x^2+1-6x)^2