题目内容

计算
(1)(2+1)(2 2 +1)(2 4+1)(2 8+1) (2)
(3)简便方法计算98×102-992
(1)原式=(2-1)(2+1)(2 2 +1)(2 4+1)(2 8+1)
=(2 2 -1)(2 2 +1)(2 4+1)(2 8+1)
=(2 4-1)(2 4+1)(2 8+1)
=(2 8-1)(2 8+1)
=216 -1
(2)原式=[(a+(b-c)]×[(a-(b-c)]-(b-c)2
=a2-(b-c)2 -(b-c)2
=a2-2(b-c)2
=a2-2(b2-2bc+c 2)
=a2-2b2+4bc-2c 2
(3)原式=(100-2)(100+2)-(100-1)2
=1002-4-1002+200-1
=-4+200-1
=195
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