Final answer:
Option (B, C), The student's question pertains to the difference of two squares identity, but the provided options are incorrect. The correct identity for the difference of two squares is (a + b)(a - b) = a² - b².
Step-by-step explanation:
The student has asked about a quadratic identity specifically related to the difference of two squares. The correct identity for the difference of two squares is none of the options provided as they all show squares of binomials without any differences. However, the correct identity for the difference of two squares is (a + b)(a - b) = a² - b².
When expanding (a + b)² or (a - b)², we have:
- (a + b)² = a² + 2ab + b²
- (a - b)² = a² - 2ab + b²
These are the correct expansions for the squares of binomials and should not be confused with the difference of squares identity.