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