16Hit1600
Advanced MathHardSquared binomial minus a square term

Advanced Math practice question

Which expression is equivalent to (3x − 2)² − 9x²?

  1. A. −12x + 4Correct
  2. B. 4
  3. C. −12x − 4
  4. D. 18x² − 12x + 4

Answer: A. −12x + 4

(3x − 2)² = 9x² − 12x + 4. Subtracting 9x² leaves −12x + 4.

Why the other answers are wrong

B. 4
4 drops the middle term −12x that squaring the binomial produces.
C. −12x − 4
The constant is (−2)² = +4, not −4.
D. 18x² − 12x + 4
18x² − 12x + 4 ADDS 9x² instead of subtracting it.

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