Factor: 96q^2-54r^2+312

Rewrite 312 as 52×6

Rewrite -54 as 9×6

Rewrite 96 as 16×6

16.6q^2+9.6r^2+52.6

factor out common term 6

=6(16q^2-9r^2+52)

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.