题目内容
计算:(1)(2x+1)(﹣2x+1)
(2)(2a﹣
b2)2
(3)(3x+1)2(3x﹣1)2
(4)(x+1)(x2+1)(x4+1)(x﹣1)
解:(1)(2x+1)(﹣2x+1),
=12﹣(2x)2,
=1﹣4x2;
(2)(2a﹣
b2)2,
=4a2﹣2ab2+
;
(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
=12﹣(2x)2,
=1﹣4x2;
(2)(2a﹣
=4a2﹣2ab2+
(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
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