来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/08/23 23:11:56
因式分解(x^2+3x+2)(x^2+7x+12)-120
(x^2+3x+2)(x^2+7x+12)-120
=(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)^2+10(x^2+5x)+24-120
=(x^2+5x)^2+10(x^2+5x)-96
=(x^2+5x+16)(x^2+5x-6)
=(x^2+5x+16)(x+6)(x-1)