Final answer:
The expression -1 + 64t² is not a difference of squares because while 64t² is a perfect square, -1 is not a square of any real number.
Step-by-step explanation:
To determine whether the expression -1 + 64t² is a difference of squares, we need to identify two terms that are perfect squares and are subtracted from one another. A classic difference of squares takes the form a² - b², which can be factored into (a + b)(a - b).
The term 64t² is a perfect square since it can be written as (8t)². However, the term -1 is not a perfect square because the square of a real number is always non-negative. Therefore, -1 cannot be expressed as some real number squared.
Since one of the terms is not a perfect square, the expression -1 + 64t² is not a difference of squares.