问题
解答题
计算: (1)(2x+1)(-2x+1) (2)(2a-
(3)(3x+1)2(3x-1)2 (4)(x+1)(x2+1)(x4+1)(x-1) |
答案
(1)(2x+1)(-2x+1),
=12-(2x)2,
=1-4x2;
(2)(2a-
b2)2,1 2
=(2a)2-2×2a×
b2+(1 2
b2)2,1 2
=4a2-2ab2+
b4;1 4
(3)(3x+1)2(3x-1)2,
=[(3x+1)(3x-1)]2,
=(9x2-1)2,
=81x4-18x2+1;
(4)(x+1)(x2+1)(x4+1)(x-1),
=(x+1)(x-1)(x2+1)(x4+1),
=(x2-1)(x2+1)(x4+1),
=(x4-1)(x4+1),
=x8-1.