分解因式1.12a³b²-9a²b+3ab
来源:学生作业帮 编辑:百度作业网作业帮 分类:数学作业 时间:2024/07/06 06:16:04
分解因式1.12a³b²-9a²b+3ab
1.12a³b²-9a²b+3ab 2.a³-4a²b+4ab² 3.(3x+y)²-(x-3y)² 4.(2a-b)²+8ab 分解因式
1.12a³b²-9a²b+3ab 2.a³-4a²b+4ab² 3.(3x+y)²-(x-3y)² 4.(2a-b)²+8ab 分解因式
![分解因式1.12a³b²-9a²b+3ab](/uploads/image/z/8257342-22-2.jpg?t=%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F1.12a%26%23179%3Bb%26%23178%3B-9a%26%23178%3Bb%2B3ab)
1、12a³b²-9a²b+3ab =3ab(4a²b-3a+1)
2、a³-4a²b+4ab² =a(a² -4ab+4b²)=a(a-2b)²
3、(3x+y)²-(x-3y)²=(3x+y+x-3y)(3x+y-x+3y)=(4x-2y)(2x+4y)=4(2x-y)(x+2y)
4、(2a-b)²+8ab =4a ² -4ab+b²+8ab=4a²+4ab+b²=(2a+b)²
2、a³-4a²b+4ab² =a(a² -4ab+4b²)=a(a-2b)²
3、(3x+y)²-(x-3y)²=(3x+y+x-3y)(3x+y-x+3y)=(4x-2y)(2x+4y)=4(2x-y)(x+2y)
4、(2a-b)²+8ab =4a ² -4ab+b²+8ab=4a²+4ab+b²=(2a+b)²