利用平方差公式计算： (3+1)(3平方+1)(3四次方+1)(3的八次方+1)(3的十六次方+1

(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1) =(1/2)(3-1)(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1) =(1/2)(3^2-1)(3^2+1)(3^4+1)(3^8+1)(3^16+1) =(1/2)(3^4-1)(3^4+1)(3^8+1)(3^16+1) =(1/2)(3^8-1)(3^8+1)(3^16+1) =(1/2)(3^16-1)(3^16+1) =(1/2)(3^32-1) =3^3