来源:学生作业帮 编辑:大师作文网作业帮 分类:数学作业 时间:2024/11/19 04:10:23
用换元法因式分解 (3x²+24x+7)(2x²+16x+15)+14
(3(x²+8x+5)-8)(2(x²+8x+5)+5)+14
=(3t-8)(2t+5)+14
=6t^2-t-40+14
=6t^2-t+26
=(t+2)(6t-13)
=(x^2+8x+5+2)(6x^2+48x+30-13)
=(x^2+8x+7)(6x^2+48x+17)
=(x+1)(x+7)(6x^2+48x+17)