Question

factorizar.
w^2 + 14w + 49

Explanation:

Step1: Identify the form

The expression $w^{2}+14w + 49$ is in the form of $a^{2}+2ab + b^{2}$, where $a = w$ and $2b=14$ (so $b = 7$).

Step2: Apply the perfect - square formula

The perfect - square formula is $a^{2}+2ab + b^{2}=(a + b)^{2}$. Substituting $a = w$ and $b = 7$ into the formula, we get $(w + 7)^{2}$.

Answer:

$(w + 7)^{2}$