今天就要!化简(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)
问题描述:
今天就要!化简(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)
答
只在在原式的基础上乘以(2-1),就可以不断的形成平方差,原式=(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)=(2^2-1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)=(2^4-1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)=(2^8-1)(2^8...