Yes we may also use FOIL
[tex]\mleft(z+4\mright)(z-4)=z^2+4z-4z-16=z^2-16[/tex]but this is the same as
[tex](x+y)(x-y)=x^2-y^2[/tex]You may simply square the first and second term , then use the negative sign. but this was actually solved using FOIL