(2+1)(2*2+1)(2*2*2*2+1)用简便方法计算
问题描述:
(2+1)(2*2+1)(2*2*2*2+1)用简便方法计算
答
(2+1)(2*2+1)(2*2*2*2+1)
=(2-1)(2+1)(2²+1)(2⁴+1)
=(2²-1)(2²+1)(2⁴+1)
=(2⁴-1)(2⁴+1)
=2的8次方-1
=255