(3+2)*(3^2+2^2)*(3^4+2^4)*(3^8+2^8)
=(3-2)(3+2)*(3^2+2^2)*(3^4+2^4)*(3^8+2^8)
=(3^-2^2)*(3^2+2^2)*(3^4+2^4)*(3^8+2^8)
=(3^4-2^4)*(3^4+2^4)*(3^8+2^8)
=((3^8-2^8)*(3^8+2^8)
=3^16-2^16
(3+2)*(3^2+2^2)*(3^4+2^4)*(3^8+2^8)
=(3-2)(3+2)*(3^2+2^2)*(3^4+2^4)*(3^8+2^8)
=(3^-2^2)*(3^2+2^2)*(3^4+2^4)*(3^8+2^8)
=(3^4-2^4)*(3^4+2^4)*(3^8+2^8)
=((3^8-2^8)*(3^8+2^8)
=3^16-2^16