把下列各式分解因式:(1)12a3b2-9a2b+3ab;(2)16x2-9y2;(3)2x3+8x2y+8xy2;??????(4)(3x+y)2-(x-3y)2.

发布时间:2020-08-08 22:16:18

把下列各式分解因式:
(1)12a3b2-9a2b+3ab;
(2)16x2-9y2;
(3)2x3+8x2y+8xy2;??????
(4)(3x+y)2-(x-3y)2.

网友回答

解:(1)12a3b2-9a2b+3ab=3ab(4a2b-3a+1);

(2)16x2-9y2=(4x+3y)(4x-3y);

(3)2x3+8x2y+8xy2=2x(x2+4xy+4y2)=2x(x+2y)2;

(4)(3x+y)2-(x-3y)2=(3x+y+x-3y)(3x+y-x+3y)=(4x-2y)(2x+4y)=4(2x-y)(x+2y).
解析分析:(1)提取公因式3ab,即可将原式分解因式;
(2)利用平方差公式分解即可求得
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