Final answer:
To factor the quadratic expression w² + 14w + 49, we can use the perfect square trinomial form, which states that (a + b)² = a² + 2ab + b². In this case, w² + 14w + 49 can be written as (w + 7)² since 7² = 49. Therefore, the factored form of the expression is (w + 7)².
Step-by-step explanation:
To factor the quadratic expression w² + 14w + 49, we can use the perfect square trinomial form, which states that (a + b)² = a² + 2ab + b². In this case, w² + 14w + 49 can be written as (w + 7)² since 7² = 49. Therefore, the factored form of the expression is (w + 7)².