Final answer:
To determine if a binomial is a difference of two squares, it must be in the form a^2 - b^2 and factor into (a + b)(a - b). Without the actual binomials being provided, we cannot accurately choose among the given options.
Step-by-step explanation:
The question pertains to identifying which binomials are a difference of two squares. A difference of two squares is a binomial of the form a^2 - b^2, which factors into (a + b)(a - b). In order to determine if a binomial is a difference of two squares, we must be able to find two terms, each of which is a perfect square, and the operation between them should be subtraction.
To confirm which binomials provided fit this description, each binomial would need to be presented and analyzed individually (which is not possible here due to the provided data being unrelated text snippets). Typically, binomials like x^2 - 9 or y^2 - 16 are examples of the difference of two squares since x^2 is the square of x, 9 is the square of 3, y^2 is the square of y, and 16 is the square of 4. Hence, the first would factor into (x + 3)(x - 3) and the second into (y + 4)(y - 4).
The unrelated snippets about Nutrient Agar Plates, kinetic and potential energy, dominance in genetics, and an equation involving c^2 are not applicable to the solution to this specific mathematics problem. Therefore, without the exact binomials to evaluate, we cannot determine the correct choice among the options A) I only, B) III only, C) III and IV, or D) II, III, and IV.