问题 解答题

分解因式:(1)2x(a-b)-(b-a);

(2)(x2-2xy)2+2y2(x2-2xy)+y4

答案

(1)2x(a-b)-(b-a),

=2x(a-b)+(a-b),

=(a-b)(2x+1);

(2)(x2-2xy)2+2y2(x2-2xy)+y4

=[(x2-2xy)+y2]2

=[(x-y)2]2

=(x-y)4

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