题目内容
因式分
(1)(a-b)(x-y)-(b-a)(x+y);
(2)x2-4xy+4y2-1.
(1)(a-b)(x-y)-(b-a)(x+y);
(2)x2-4xy+4y2-1.
(1)(a-b)(x-y)-(b-a)(x+y),
=(a-b)(x-y)+(a-b)(x+y),
=(a-b)(x-y+x+y),
=2x(a-b);
(2)x2-4xy+4y2-1,
=(x2-4xy+4y2)-1,
=(x-2y)2-1,
=(x-2y+1)(x-2y-1).
=(a-b)(x-y)+(a-b)(x+y),
=(a-b)(x-y+x+y),
=2x(a-b);
(2)x2-4xy+4y2-1,
=(x2-4xy+4y2)-1,
=(x-2y)2-1,
=(x-2y+1)(x-2y-1).
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