问题
解答题
计算下列各题: (1)(-4x-3y2)(3y2-4x); (2)(3a2+
(3)a(a-b)2-2b(a-b)(a+b); (4)(a2-ab+b2)(a2+ab+b2) |
答案
(1)(-4x-3y2)(3y2-4x),
=(-4x)2-(3y2)2,
=16x2-9y4;
(2)(3a2+
b)(3a2-1 2
b)(9a4-1 2
b2),1 4
=[(3a2)2-(
b)2](9a4-1 2
b2),1 4
=(9a4-
b2)2,1 4
=81a8-
a4b2+9 2
b4;1 16
(3)a(a-b)2-2b(a-b)(a+b),
=a(a2-2ab+b2)-2b(a2-b2),
=a3-2a2b+ab2-2a2b+2b3,
=a3-4a2b+ab2+2b3;
(4)(a2-ab+b2)(a2+ab+b2),
=[(a2+b2)2]-(ab)2,
=a4+a2b2+b4.