Factor x(a+2)-a-2+3(a+2)

$x (a + 2) - a - 2 + 3 (a + 2)$

Step 1

Regroup terms.

$3 (a + 2) + x (a + 2) - a - 2$

Step 2

Apply the distributive property.

$3 (a + 2) + x a + x \cdot 2 - a - 2$

Step 3

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

$3 (a + 2) + x a + 2 x - a - 2$

Step 4

Rewrite $x a + 2 x - a - 2$ in a factored form.

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$3 (a + 2) + (x a + 2 x) - a - 2$

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

$3 (a + 2) + x (a + 2) - (a + 2)$

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

$3 (a + 2) + (a + 2) (x - 1)$

Step 5

Factor $a + 2$ out of $3 (a + 2) + (a + 2) (x - 1)$ .

Factor $a + 2$ out of $3 (a + 2)$ .

$(a + 2) \cdot 3 + (a + 2) (x - 1)$

Factor $a + 2$ out of $(a + 2) \cdot 3 + (a + 2) (x - 1)$ .

$(a + 2) (3 + x - 1)$

Step 6

Subtract $1$ from $3$ .

$(a + 2) (x + 2)$