If you have (y-4)(y²+4y+16), which formula are you using?

The expression (y-4)(y²+4y+16) showcases the product of a linear binomial and a quadratic trinomial. To determine the formula being used here, it is essential to recognize the characteristics of the given factors.

The first factor, (y-4), is a simple linear expression. The second factor, (y²+4y+16), is a quadratic trinomial. When factoring expressions such as this one, one typically looks for recognized patterns or formulas. In this case, the quadratic trinomial does not fit the criteria for either sum or difference of cubes, nor does it represent a difference of squares.

The correct consideration is that the expression can be understood through polynomial identities, particularly associated with binomials and trinomials. Finding roots or applying a specific factoring method would apply to the trinomial, but given there's a straightforward multiplication taking place, it's indicative of a more basic form of factoring rather than any of the cubic forms mentioned.

Therefore, while seizing upon the multiple-choice options, it becomes necessary to observe that neither the difference of squares, difference of cubes, nor sum of cubes are applicable here. This leads to the conclusion that the focus on a quadratic trinomial and its nature in