问题
解答题
把下列各式分解因式
(1)(x2+y2)2-4x2y2;(2)3x3-12x2y+12xy2
答案
(1)(x2+y2)2-4x2y2,
=(x2+y2+2xy)(x2+y2-2xy),
=(x+y)2(x-y)2;
(2)3x3-12x2y+12xy2,
=3x(x2-4xy+4y2),
=3x(x-2y)2.
把下列各式分解因式
(1)(x2+y2)2-4x2y2;(2)3x3-12x2y+12xy2
(1)(x2+y2)2-4x2y2,
=(x2+y2+2xy)(x2+y2-2xy),
=(x+y)2(x-y)2;
(2)3x3-12x2y+12xy2,
=3x(x2-4xy+4y2),
=3x(x-2y)2.