To determine which endpoints are best suited for using polynomial identities to convert differences of squares into products, we should look for endpoints that relate to the difference of squares identity, which states that \( a^2 - b^2 = (a - b)(a + b) \).
Without specific numerical examples provided in your endpoints (8, 10, 8.4, 11.1, 7.2, 10, and 11.5), it's difficult to definitively answer which pairs would utilize this identity best. However, if we consider simple numerical squares:
- If the endpoints represent values whose squares can be subtracted (for example, \(x^2 - y^2\)), then those endpoints should ideally have a format where you can visibly apply the polynomial identity.
Given this, I might assume (based on responses) that pairs like 8 and 10 or 8 and 11.5 could be appropriate, depending on their configurations. However, without additional context on what these values represent, I'd suggest checking each pair to see which can demonstrate the difference of squares more directly.
In a general math context, the difference of squares is typically used for any two numerical squares. So pairs that contain integers or numbers that can be squared into integers (i.e., whole numbers) are generally preferred.
If I had to choose the most relevant pair based solely on common numerical ranges, I would select 8 and 10, assuming they might represent two consecutive integers whose squares can be easily calculated and demonstrated using the identity.