3(x-2y)(x+2y)-9(2y-x)^2分解因式

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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)