3(x-2y)(x+2y)-9(2y-x)^2分解因式

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/18 14:29:27
3(x-2y)(x+2y)-9(2y-x)^2分解因式
x)3֨5ԨFqFO;^,_t{mqˡ(/P9 m3$gYkhQBײBCȤR׬*f4Yb_\gu o>a`BD&k3RkZ^[ ta"`Pz] mJt~bݓ͛lz{:*5|6ҽ@N$]

3(x-2y)(x+2y)-9(2y-x)^2分解因式
3(x-2y)(x+2y)-9(2y-x)^2
分解因式

3(x-2y)(x+2y)-9(2y-x)^2分解因式
3(x-2y)(x+2y)-9(2y-x)^2
=(x-2y)(3x+6y)-(x-2y)(9x-18y)
=(x-2y)(3x+6y-9x+18y)
=(x-2y)(24y-6x)
=6(x-2y)(4y-x)

原式=3(x-2y)(x+2y)-9(x-2y)^2
=3(x-2y)(x+2y-9x+18y)
=3(x-2y)(-8x+20y)
=-12(x-2y)(2x-5y)

原式 = 3(x-2y) [(x+2y) - 3(x-2y)]
= 3(x-2y) [-2x +4y]
= -6(x-2y)^2

结果是6(x-2y)(4y-x)