Factor a(n+2)+n+2

$a (n + 2) + n + 2$

Apply the distributive property.

$a n + a \cdot 2 + n + 2$

Move $2$ to the left of $a$ .

$a n + 2 a + n + 2$

Rewrite $a n + 2 a + n + 2$ in a factored form.

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(a n + 2 a) + n + 2$

Factor out the greatest common factor (GCF) from each group.

$a (n + 2) + 1 (n + 2)$

Factor the polynomial by factoring out the greatest common factor, $n + 2$ .

$(n + 2) (a + 1)$