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数学
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利用简便方法计算:2(3+1)(3的平方+1)(3的4次方)-81的平方的值
人气:115 ℃ 时间:2019-08-18 12:44:27
解答
提示:2拆成3-1,然后反复利用平方差公式.
2(3+1)(3²+1)(3⁴+1)-81²
=(3-1)(3+1)(3²+1)(3⁴+1)-(3⁴)²
=(3²-1)(3²+1)(3⁴+1)-3^8
=(3⁴-1)(3⁴+1)-81²
=3^8-1-3^8
=-1
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