问题 解答题

因式分

(1)(a-b)(x-y)-(b-a)(x+y);

(2)x2-4xy+4y2-1.

答案

(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).

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