分解因式:(1)-3ma3+6ma2-12ma(2)18(a-b)3-12b(b-a)2(3)(2x+y)2-(x+2y)2(4)-16x4+81y4.

发布时间:2020-08-05 04:13:33

分解因式:
(1)-3ma3+6ma2-12ma
(2)18(a-b)3-12b(b-a)2
(3)(2x+y)2-(x+2y)2
(4)-16x4+81y4.

网友回答

解:(1)-3ma3+6ma2-12ma=-3ma(a2-2a+4);

(2)18(a-b)3-12b(b-a)2
=18(a-b)3-12b(a-b)2
=6(a-b)2[3(a-b)-2b]
=6(a-b)2(3a-5b);

(3)(2x+y)2-(x+2y)2
=[(2x+y)+(x+2y)][(2x+y)-(x+2y)]
=3(x+y)(x-y);

(4)-16x4+81y4.
=81y4-16x4
=(9y2+4x2)(9y2-4x2)
=(9y2+4x2)(3y+2x))(3y-2x).

解析分析:(1)提取公因式-3ma即可求出
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