题目内容：

数学题的计算题
请利用平方差公式计算：（2+1）（2^2+1)(2^4+1)(2^8+1)(2^16+1)+1

优质解答

(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)+1 =1×(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)+1 =(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)+1 =(2^2-1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)+1 =(2^4-1)(2^4+1)(2^8+1)(2^16+1)+1 =(2^8-...