Factor w^2+4w+4

$w^{2} + 4 w + 4$

Step 1

Rewrite $4$ as $2^{2}$ .

$w^{2} + 4 w + 2^{2}$

Step 2

Check that the middle term is two times the product of the numbers being squared in the first term and third term.

$4 w = 2 \cdot w \cdot 2$

Step 3

Rewrite the polynomial.

$w^{2} + 2 \cdot w \cdot 2 + 2^{2}$

Step 4

Factor using the perfect square trinomial rule $a^{2} + 2 a b + b^{2} = {(a + b)}^{2}$ , where $a = w$ and $b = 2$ .

${(w + 2)}^{2}$