(1)a^3-3a+2(2)(x+1)(x+2)(x+3)(x+4)-120

来源:学生作业帮助网 编辑:作业帮 时间:2024/07/18 03:23:07
(1)a^3-3a+2(2)(x+1)(x+2)(x+3)(x+4)-120
xA! EJepzCt-̠ND7ͧ!d$;tb0Zr̀ħpN? X 7iuBt [;p|{gK]]ZƦuF}G.`w~l-zEnE.Ko

(1)a^3-3a+2(2)(x+1)(x+2)(x+3)(x+4)-120
(1)a^3-3a+2
(2)(x+1)(x+2)(x+3)(x+4)-120

(1)a^3-3a+2(2)(x+1)(x+2)(x+3)(x+4)-120
a^3-3a+2=a^3-a-2a+2=a(a-1)(a+1)-2(a-1)=(a+1)(a-1)(a-2)
(x+1)(x+2)(x+3)(x+4)-120
=(x+1)(x+4)*(x+2)(x+3)-120
=(x^2+5x+4)(x^2+5x+6)-120
=(x^2+5x+5+1)(x^2+5x+5-1)-120
=(x^2+5x+5)^2-1-120
=(x^2+5x+5)-121
=(x^2+5x+5+11)(x^2+5x+5-11)
=(x^2+5x+16)(x^2+5x-6)
=(x^2+5x+16)(x+6)(x-1)