计算:3(2²+1)(2^4+1)(2^8+1)(2^16+1)
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计算:3(2²+1)(2^4+1)(2^8+1)(2^16+1)计算:3(2²+1)(2^4+1)(2^8+1)(2^16+1)计算:3(2²+1)(2^4+1)(2^8
计算:3(2²+1)(2^4+1)(2^8+1)(2^16+1)
计算:3(2²+1)(2^4+1)(2^8+1)(2^16+1)
计算:3(2²+1)(2^4+1)(2^8+1)(2^16+1)
3(2²+1)(2^4+1)(2^8+1)(2^16+1)
=(2^2-1)(2²+1)(2^4+1)(2^8+1)(2^16+1)
=(2^4-1)(2^4+1)(2^8+1)(2^16+1)
=(2^8-1)(2^8+1)(2^16+1)
=(2^16-1)(2^16+1)
=2^32-1
提示你 将3写成2的平方-1
然后连续平方差公式
我想你那么聪明 应该会了
(2ˆ2-1)(2ˆ2+1)(2ˆ4+1)(2ˆ8+1)(2ˆ16+1)
=(2ˆ4-1)(2ˆ4+1)(2ˆ8+1)(2ˆ16+1)
=(2ˆ8-1)(2ˆ8+1)(2ˆ16+1)
(2ˆ16-1)(2ˆ16+1)
=2ˆ32-1
可追问啊
3(2^2+1)(2^4+1)(2^8+1)(2^16+1
=3(2²-1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)/(2²-1)
=3(2^4-1)(2^4+1)(2^8+1)(2^16+1)/(2²-1)
=3(2^8-1)(2^8+1)(2^16+1)/(2²-1)
=3(2^16-1)(2^16+1)/(2²-1)
=3(2^64-1)/3
=2^64-1