Conjugate pairs are typically of the form (a+b) and (a-b). Which pair are conjugates?

• A. (p+6) and (p-6)
• B. (p+6) and (p+6)
• C. (p-6) and (p-6)
• D. (6-p) and (p-6)

Answer: (A)

Conjugate pairs are two binomials that share the same first term and have opposite signs in the second term, so they look like (a+b) and (a-b). This setup makes their product a difference of squares: (a+b)(a-b) = a^2 − b^2. Here, a is p and b is 6, so (p+6) and (p-6) fit perfectly as conjugates. The other options don’t match that pattern: they either repeat the same expression or don’t keep the same first term with opposite signs in the second term.