数学题，（2平方+1）（2四次方+1）（2八次方+1）……(2三十二次方+1) 急！！过程！

(2^2+1)(2^4+1)…………(2^32+1) =(1/3)[(2^2-1)(2^2+1)…………(2^32+1)] =(1/3)(2^4-1)(2^4+1)…………(2^32+1) =(1/3)(2^8-1)(2^8+1)…………(2^32+1) =(1/3)(2^32-1)(2^32+1) =(1/3)(2^64-1)