分解因式: (1)x2(a-b)+4(b-a); (2)x2(2x+y)2-4x2y2.
问题描述:
分解因式:
(1)x2(a-b)+4(b-a);
(2)x2(2x+y)2-4x2y2.
答
(1)x2(a-b)+4(b-a),
=x2(a-b)-4(a-b),
=(a-b)(x2-4),
=(a-b)(x+2)(x-2);
(2)x2(2x+y)2-4x2y2,
=x2[(2x+y)2-4y2],
=x2(2x+y+2y)(2x+y-2y),
=x2(2x+3y)(2x-y).