(2+1)(22+1)(24+1)的结果为______.
题型:填空题难度:一般来源:不详
(2+1)(22+1)(24+1)的结果为______. |
答案
(2+1)(22+1)(24+1), =(2-1)(2+1)(22+1)(24+1), =(22-1)(22+1)(24+1), =(24-1)(24+1), =28-1, =255. |
举一反三
运用公式计算: (1)1982 (2)2002×1998. |
观察下列各式: (x-1)(x+1)=x2-1 (x-1)(x2+x+1)=x3-1 (x-1)(x3+x2+x+1)=x4-1, 根据前面各式的规律可得(x-1)(xn+xn-1+…+x+1)=______(其中n为正整数). |
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