问题
解答题
因式分
(1)x3-x
(2)(x2+y2)2-4x2y2.
答案
(1)x3-x,
=x(x2-1),
=x(x+1)(x-1);
(2)(x2+y2)2-4x2y2,
=(x2+2xy+y2)(x2-2xy+y2),
=(x+y)2(x-y)2.
因式分
(1)x3-x
(2)(x2+y2)2-4x2y2.
(1)x3-x,
=x(x2-1),
=x(x+1)(x-1);
(2)(x2+y2)2-4x2y2,
=(x2+2xy+y2)(x2-2xy+y2),
=(x+y)2(x-y)2.