Quantity A	Quantity B
\((3p + 1)(3p - 1)\)	\(9p^2\)

A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.


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Sandy
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Explanation

Evaluate the relationship between the quantities by plugging in values for p: Try p = 2.

Quantity A is 7 × 5 = 35, and Quantity B is 9 × 4 = 36; Quantity B is greater, so eliminate choices (A) and (C). Any value gives the same outcome, so select answer choice (B). Algebraically, you could either FOIL Quantity A or recognize the common quadratics—either way, Quantity A simplifies to 9p2 – 1, which is always exactly 1 less than Quantity B.
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Sandy
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