(2^2-1)(2^2+1)(2^4+1)(2^8+1) 等于多少

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(2^2-1)(2^2+1)(2^4+1)(2^8+1) 等于多少
(2^2-1)(2^2+1)(2^4+1)(2^8+1) 等于多少

(2^2-1)(2^2+1)(2^4+1)(2^8+1) 等于多少
原式=(2^4-1)(2^4+1)(2^8+1)
=(2^8-1)(2^8+1)
=2^16-1
=65536-1
=65535

(2^2-1)(2^2+1)(2^4+1)(2^8+1)
=(2^4-1)(2^4+1)(2^8+1)
=(2^8-1)(2^8+1)
=2^16-1

65535

(2^2-1)(2^2+1)(2^4+1)(2^8+1) =(2^4-1)(2^4+1)(2^8+1)=(2^8-1)(2^8+1)=2^16-1 =65535

=2^16-1=65535 用的是平方差公式(a-b)(a+b)=a^2—b^2

65535

=(2^4-1))(2^4+1)(2^8+1)
=(2^8-1)(2^8+1)
=2^16-1