2(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)+1等于多少

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2(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)+1等于多少2(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)+1等于多少2(

2(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)+1等于多少
2(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)+1等于多少

2(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)+1等于多少
2(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)+1
=(3-1)(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)+1
=(3^2-1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)+1
=(3^4-1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)+1
反复运用平方差公式
3^64-1+1
=3^64

原式
=(3-1)(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)+1
=(3^2-1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)+1
...
=(3^32-1)(3^32+1)+1
=3^64-1+1
=3^64

3的64次方,把开始的2看成(3-1)然后用平方差公式