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因式分解:(1)ax2-4axy-a+4ay2(2)(a-b)(3a+b)2+(a+3b)2(b-a)(3)(x2+3x

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/04/27 19:46:46
因式分解:
(1)ax2-4axy-a+4ay2
(2)(a-b)(3a+b)2+(a+3b)2(b-a)
(3)(x2+3x-2)(x2+3x+4)-16.
(1)ax2-4axy-a+4ay2
=a(x2-4xy-1+4y2),
=a[(x-2y)2-1],
=a(x-2y-1)(x-2y+1);
(2)(a-b)(3a+b)2+(a+3b)2(b-a),
=(a-b)(3a+b)2-(a+3b)2(a-b),
=(a-b)[(3a+b)2-(a+3b)2],
=(a-b)(3a+b+a+3b)(3a+b-a-3b),
=8(a-b)2(a+b);
(3)(x2+3x-2)(x2+3x+4)-16,
=[(x2+3x)2+2(x2+3x)-8]-16,
=(x2+3x)2+2(x2+3x)-24,
=(x2+3x+6)(x2+3x-4),
=(x2+3x+6)(x+4)(x-1).