因式分解(x-2)(x-3)(x-8)(x-12)-4x^2

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/30 10:37:03
因式分解(x-2)(x-3)(x-8)(x-12)-4x^2
x){:{=O;^,_Qk $A0453I*'V~ i*)JF#UYUAF&&h"Z!,]# dQmCSrҢkhZ7DUR2Y0ai_\g I9

因式分解(x-2)(x-3)(x-8)(x-12)-4x^2
因式分解(x-2)(x-3)(x-8)(x-12)-4x^2

因式分解(x-2)(x-3)(x-8)(x-12)-4x^2
原式=[(x-2)(x-12)][(x-3)(x-8)]-4x²
=[(x²+24)-14x][(x²+24)-11x]-4x²
=(x²+24)²-25x(x²+24)+154x²-4x²
=(x²+24)²-25x(x²+24)+150x²
=(x²+24-15x)(x²+24-10x)
=(x²-15x+24)(x-4)(x-6)