平方差是什么。求例题和解析，能让我明白。谢谢
\u521d\u4e00\u5e73\u65b9\u5dee\u4e60\u9898\u7b54\u6848\uff1a
\uff08x\uff0d1\uff09\uff08x2+1\uff09\uff08 x+1 \uff09=x4\uff0d1
\u6b65\u9aa4\uff1a
x4-1=(x2+1)*(x2-1)
=(x2+1)*(x+1)*(x-1)
(2^2+1)(2^4+1).....(2^32+1)
=(2^2-1)(2^2+1)(2^4+1).....(2^32+1) /(2^2-1)
=(2^4-1)(2^4+1).....(2^32+1)/(2^2-1)
=(2^64-1)/3
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