(1+2)(1+4)(1+16)x...x(1+2的32次方)等于多少结果,算式,原因,说清楚明白.
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(1+2)(1+4)(1+16)x...x(1+2的32次方)等于多少结果,算式,原因,说清楚明白.
(1+2)(1+4)(1+16)x...x(1+2的32次方)等于多少
结果,算式,原因,说清楚明白.
(1+2)(1+4)(1+16)x...x(1+2的32次方)等于多少结果,算式,原因,说清楚明白.
(1+2)(1+4)(1+16)x...x(1+2的32次方)
=(4-1)(1+4)(1+16)x...x(1+2的32次方)
=(16-1)(1+16)x...x(1+2的32次方)
……
每步都是平方差公式
最后=[-1+2的64次方]/3
原式
=(2-1)(2+1)(2^2+1)(2^4+1)...(2^32+1)
=(2^2-1)(2^2+1)(2^4+)...(2^32+1)
=(2^32-1)(2^32+1)
=2^64-1
最后结果是2的64次方-1
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