计算:(2+1)(2^2+1)(2^4+1)(2^8+1)…(2^2n+1)的值.

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计算:(2+1)(2^2+1)(2^4+1)(2^8+1)…(2^2n+1)的值.
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计算:(2+1)(2^2+1)(2^4+1)(2^8+1)…(2^2n+1)的值.
计算:(2+1)(2^2+1)(2^4+1)(2^8+1)…(2^2n+1)的值.

计算:(2+1)(2^2+1)(2^4+1)(2^8+1)…(2^2n+1)的值.
(2+1)(2^2+1)(2^4+1)(2^8+1)…(2^2n+1)
=(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)…(2^2n+1)
=(2^2-1)(2^2+1)(2^4+1)(2^8+1)…(2^2n+1)
=(2^4-1)(2^4+1)(2^8+1)…(2^2n+1)
=…… (连续运用平方差公式)
=2^4n-1