因式分解:(1)3分之1x²y-3y (2)-4(x-2y)²+9(x+y)²
来源:学生作业学帮网 编辑:学帮网 时间:2024/06/08 19:11:26
因式分解:(1)3分之1x²y-3y (2)-4(x-2y)²+9(x+y)²
:(1)3分之1x²y-3y
=y/3(x²-9)
=y/3(x+3)(x-3)
(2)-4(x-2y)²+9(x+y)²
=9(x+y)²-4(x-2y)²
=(3x+3y+2x-4y)(3x+3y-2x+4y)
=(5x-y)(x+7y)
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来源:学生作业学帮网 编辑:学帮网 时间:2024/06/08 19:11:26
因式分解:(1)3分之1x²y-3y (2)-4(x-2y)²+9(x+y)²
:(1)3分之1x²y-3y
=y/3(x²-9)
=y/3(x+3)(x-3)
(2)-4(x-2y)²+9(x+y)²
=9(x+y)²-4(x-2y)²
=(3x+3y+2x-4y)(3x+3y-2x+4y)
=(5x-y)(x+7y)