6+(x^3+4) (x^3-4)
\(6+(x^3+4) (x^3-4)\\ = (x^3+4) (x^3-4) \;\;\;\;+6\)
See how yow you have the same thing in both brackets but one is plus and one is minus?
This is a difference ot 2 squares.
and
\((a-b)(a+b) = a^2-b^2\)
so
\(= (x^3+4) (x^3-4) \;\;\;\;+6\\ = (x^3)^2\;-\;(4)^2 \;\;\;\;+6\\\)
Andre you can try finishing it now :)