Final answer:
To factor the expression 64y² + 112y + 49 as a perfect square trinomial, we can rewrite it as (8y + 7)².
Step-by-step explanation:
To factor the expression 64y² + 112y + 49 as a perfect square trinomial, we need to determine if it is in the form of (a + b)², where a and b are binomials. We can check this by comparing the given expression to the general form (a + b)² = a² + 2ab + b². If the given expression matches the general form, it can be factored as a perfect square trinomial.
Let's compare the given expression to the general form:
64y² + 112y + 49 = (8y)² + 2(8y)(7) + 7²
Since the given expression matches the general form, we can factor it as:
(8y + 7)²