(1)(a-b)(x-y)-(b-a)(x+y)(2)a2-b2+2b-1(3)x2-10x+25;(4)(x2+1)2-4x2

发布时间:2020-08-06 00:35:04

(1)(a-b)(x-y)-(b-a)(x+y)
(2)a2-b2+2b-1
(3)x2-10x+25;
(4)(x2+1)2-4x2

网友回答

解:(1)原式=(a-b)(x-y+x+y)
=2x(a-b);

(2)原式=a2-(b2-2b+1)
=a2-(b-1)2
=(a+b-1)(a-b+1);

(3)原式=(x-5)2;

(4)原式=(x2+1+2x)(x2+1-2x)
=(x+1)2(x-1)2.
解析分析:(1)利用提取公因式法将(a-b)提取公因式即可分解因式;
(2)利用分组分解法即可求得
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