
计算(3+1)(3的2次方+1)(3的4次方+1)…(3的32次方+1)-3的64次方/2=?(/是分数线)
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(3+1)(3的2次方+1)(3的4次方+1)…(3的32次方+1)-3的64次方/2
=(3-1)(3+1)(3^2+1)(3^4+1)…(3^32+1)/(3-1)-3^64/2
=(3^2-1)(3^2+1)(3^4+1)…(3^32+1)/2-3^64/2
=(3^4-1)(3^4+1)…(3^32+1)/2-3^64/2
=(3^8-1)…(3^32+1)/2-3^64/2
=(3^64-1)/2-3^64/2
=-1/2
=(3-1)(3+1)(3^2+1)(3^4+1)…(3^32+1)/(3-1)-3^64/2
=(3^2-1)(3^2+1)(3^4+1)…(3^32+1)/2-3^64/2
=(3^4-1)(3^4+1)…(3^32+1)/2-3^64/2
=(3^8-1)…(3^32+1)/2-3^64/2
=(3^64-1)/2-3^64/2
=-1/2
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