Answer
$n^{2}$ + 6n + 8
Work Step by Step
n is an even number.
The number after n would be n+2
The number after n+2 would be n+2+2= n+4
thus (n+2)(n+4)
Use FOIL to simplify. FOIL: First (Multiply the first variables in the brackets), outside (Multiply the outer variables), Inside (Multiply the inside variables), Last (Multiply the last variables in the brackets).
= (n+2)(n+4)
= $n^{2}$ + 2n + 4n + 8 *** Add like terms
= $n^{2}$ + 6n + 8
