2(3^2+1)(3^4+1)(3^8+1)(3^16+1)的值为

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2(3^2+1)(3^4+1)(3^8+1)(3^16+1)的值为
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2(3^2+1)(3^4+1)(3^8+1)(3^16+1)的值为
2(3^2+1)(3^4+1)(3^8+1)(3^16+1)的值为

2(3^2+1)(3^4+1)(3^8+1)(3^16+1)的值为
连续运用平方差公式
2(3^2+1)(3^4+1)(3^8+1)(3^16+1)
=2(3^2-1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)/(3^2-1)
=2(3^4-1)(3^4+1)(3^8+1)(3^16+1)/(3^2-1)
=2(3^8-1)(3^8+1)(3^16+1)/(3^2-1)
=2(3^16-1)(3^16+1)/(3^2-1)
=2(3^32-1)/(3^2-1)
=(3^32-1)/4