一道数学题:(5+1)(5*+1)(5^4+1)(5^8+1)(5^16+1)+1/4
问题描述:
一道数学题:(5+1)(5*+1)(5^4+1)(5^8+1)(5^16+1)+1/4
答
(5+1)(5^2+1)(5^4+1)(5^8+1)(5^16+1)+1/4
=(5-1)(5+1)(5^2+1)(5^4+1)(5^8+1)(5^16+1)/(5-1)+1/4
=(5^16-1)/4+1/4
=(5^16)/4