问题
解答题
分解因式
(1)2a3-4a2b+2ab2;
(2)x4-y4;
(3)4x2+3(4xy+3y2).
答案
(1)2a3-4a2b+2ab2,
=2a(a2-2ab+b2),
=2a(a-b)2;
(2)x4-y4,
=(x2+y2)(x2-y2),
=(x2+y2)(x+y)(x-y);
(3)4x2+3(4xy+3y2),
=4x2+12xy+9y2,
=(2x+3y)2.
分解因式
(1)2a3-4a2b+2ab2;
(2)x4-y4;
(3)4x2+3(4xy+3y2).
(1)2a3-4a2b+2ab2,
=2a(a2-2ab+b2),
=2a(a-b)2;
(2)x4-y4,
=(x2+y2)(x2-y2),
=(x2+y2)(x+y)(x-y);
(3)4x2+3(4xy+3y2),
=4x2+12xy+9y2,
=(2x+3y)2.