作业帮因式分解-4x^2+9a^2+12xy-6a-9y^2+1
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/14 12:36:17
因式分解-4x^2+9a^2+12xy-6a-9y^2+1
因式分解-4x^2+9a^2+12xy-6a-9y^2+1
因式分解-4x^2+9a^2+12xy-6a-9y^2+1
-4x^2+9a^2+12xy-6a-9y^2+1
=-(4x²-12xy+9y²)+(9a²-6a+1)
=(3a-1)²-(2x-3y)²
=(3a-1+2x-3y)(3a-1-2x+3y)
-4x^2+9a^2+12xy-6a-9y^2+1
=-4x^2+12xy-9y^2+9a^2-6a+1
=-(2x-3y)²+(3a-1)²
=(3a-1+2a-3y)(3a-1-2a+3y)
原式=(3a)^2-2(3a)+1-[(2x)^2-2(2x)(3y)+（3y)^2]
=(3a-1)^2-(2x-3y)^2
=[(3a-1)+(2x-3y)][(3a-1)-(2x-3y)]
=(2x-3y+3a-1)(-2x+3y+3a-1)
原式=-(4x-12xy+9y^2)+(9a^2-6a+1)
=-(2x-3y)^2+(3a-1)^2
=(3a-1)^2-(2x-3y)^2
=(3a-1+2a-3y)(3a-1-2a+3y)
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