Factor m^2+14m+49

$m^{2} + 14 m + 49$

Step 1

Rewrite $49$ as $7^{2}$ .

$m^{2} + 14 m + 7^{2}$

Step 2

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

$14 m = 2 \cdot m \cdot 7$

Step 3

Rewrite the polynomial.

$m^{2} + 2 \cdot m \cdot 7 + 7^{2}$

Step 4

Factor using the perfect square trinomial rule $a^{2} + 2 a b + b^{2} = {(a + b)}^{2}$ , where $a = m$ and $b = 7$ .

${(m + 7)}^{2}$