Final answer:
To factor the expression 92² + 48z + 64, we can use the perfect square trinomial formula.
Step-by-step explanation:
To factor the expression 92² + 48z + 64, we can use the perfect square trinomial formula. The first term, 92², is a perfect square, so it can be factored as (a + b)². The last term, 64, is also a perfect square, so it can be factored as (c)². Therefore, the expression can be factored as (a + b + c)(a + b + c).
Applying this to the given expression, we have (9 + 8z + 8)(9 + 8z + 8).
Simplifying further, the factored form of the expression is (8z + 17)(8z + 1).
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