因式分解:(1)x2-(y2-2y+1);(2)a2(x-y)+b2(y-x);(3)4x3y+4x2y2+xy3;(4
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因式分解:
(1)x2-(y2-2y+1);
(2)a2(x-y)+b2(y-x);
(3)4x3y+4x2y2+xy3;
(4)(a+2)(a-8)+25.
(1)x2-(y2-2y+1);
(2)a2(x-y)+b2(y-x);
(3)4x3y+4x2y2+xy3;
(4)(a+2)(a-8)+25.
(1)x2-(y2-2y+1),
=x2-(y-1)2,
=(x+y-1)(x-y+1);
(2)a2(x-y)+b2(y-x),
=a2(x-y)-b2(x-y),
=(x-y)(a2-b2),
=(x-y)(a+b)(a-b);
(3)4x3y+4x2y2+xy3,
=xy(4x2+4xy+y2),
=xy(2x+y)2;
(4)(a+2)(a-8)+25,
=a2-6a+9,
=(a-3)2.
=x2-(y-1)2,
=(x+y-1)(x-y+1);
(2)a2(x-y)+b2(y-x),
=a2(x-y)-b2(x-y),
=(x-y)(a2-b2),
=(x-y)(a+b)(a-b);
(3)4x3y+4x2y2+xy3,
=xy(4x2+4xy+y2),
=xy(2x+y)2;
(4)(a+2)(a-8)+25,
=a2-6a+9,
=(a-3)2.
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