分解因式:(1)2x(a-b)-(b-a); (2)(x2-2xy)2+2y2(x2-2xy)+y4.
问题描述:
分解因式:(1)2x(a-b)-(b-a);
(2)(x2-2xy)2+2y2(x2-2xy)+y4.
答
(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.