数学题(2+1)(2的平方+1)(2的4次方+1)...(2的32次方+1)+1怎么算?

(2+1)(2^2+1)(2^4+1)(2^8+1).(2^32+1)
=(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1).(2^32+1)
=(2^2-1)(2^2+1)(2^4+1)(2^8+1).(2^32+1)
=(2^4-1)(2^4+1)(2^8+1).(2^32+1)+1
=(2^8-1)(2^8+1).(2^32+1)+1
=(2^16-1).(2^32+1)+1
.
=(2^32-1)(2^32+1)+1
=2^64-1+1
=2^64(2-1)(2+1)是由什么转变而来的？2-1还是1啊相当没有 只是要平方差