问题
解答题
分解因式
(1)2x4-4x2y2+2y4
(2)2a3-4a2b+2ab2.
答案
(1)2x4-4x2y2+2y4
=2(x4-2x2y2+y4)
=2(x2-y2)2
=2(x+y)2(x-y)2;
(2)2a3-4a2b+2ab2
=2a(a2-2ab+b2)
=2a(a-b)2.
分解因式
(1)2x4-4x2y2+2y4
(2)2a3-4a2b+2ab2.
(1)2x4-4x2y2+2y4
=2(x4-2x2y2+y4)
=2(x2-y2)2
=2(x+y)2(x-y)2;
(2)2a3-4a2b+2ab2
=2a(a2-2ab+b2)
=2a(a-b)2.