16Hit1600
Advanced MathEasy–MediumProduct of conjugates

Advanced Math practice question

Which expression is equivalent to (3x + 2)(3x − 2)?

  1. A. 9x² − 4Correct
  2. B. 9x² + 4
  3. C. 9x² − 12x − 4
  4. D. 3x² − 4

Answer: A. 9x² − 4

The two factors differ only in the middle sign, so the middle terms cancel: 9x² − 6x + 6x − 4 = 9x² − 4. This is the difference-of-squares pattern in reverse.

Why the other answers are wrong

B. 9x² + 4
The constant is 2 × (−2) = −4, not +4.
C. 9x² − 12x − 4
The middle terms −6x and +6x cancel each other; there's no −12x.
D. 3x² − 4
(3x)² is 9x², not 3x². The coefficient is squared too.

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