作业帮49﹙x-y﹚²-25﹙x+y﹚²怎么因式分解?4（6x-y)(x-6y)
来源：学生作业帮助网 编辑：作业帮 时间：2024/11/29 03:27:00
x)3|sfnԔ
-uLA"g
}Ovv< m//7y KSBR&HL Zь/4@"pS4f@y`yhsXB4DM,E
PIC`pAb
C
P
J14:DŷyvPOۀ9O}Qj4 ",
49﹙x-y﹚²-25﹙x+y﹚²怎么因式分解?4（6x-y)(x-6y)
49﹙x-y﹚²-25﹙x+y﹚²怎么因式分解?
4（6x-y)(x-6y)
49﹙x-y﹚²-25﹙x+y﹚²怎么因式分解?4（6x-y)(x-6y)
49(x-y)²-25(x+y)²
=[7(x-y)]² - [5(x+y)]²
=[7(x-y) + 5(x+y)] · [7(x-y) - 5(x+y)]
=(12x - 2y) · (2x -12y)
=4(6x-y)(x-6y)
原式=[7(x-y)+5(x+y)][7(x-y)-5(x+y)]
=(12x-2y)(2x-12y)
=4(6x-y)(x-6y)