When factoring the difference of squares, what form does it take?

The expression for the difference of squares takes the form of (a + b)(a - b). This results from applying the difference of squares formula, which states that for any two terms (a) and (b), the difference of their squares can be factored as follows:

[

a^2 - b^2 = (a + b)(a - b)

]

In this equation, (a^2) represents the square of the first term, (b^2) is the square of the second term, and the result factors into the product of the sum and difference of these two terms. This property is fundamental in algebra and is critical when simplifying expressions or solving equations that involve quadratic forms.

The other choices do not represent the difference of squares correctly. Some may contain differing operations or incorrect factorizations that do not adhere to the principles of factoring for this specific algebraic identity. Thus, option A is the accurate representation of how the difference of squares is factored.