16Hit1600
Advanced MathMediumExpanding and cancelling a squared term

Advanced Math practice question

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

  1. A. 12x + 18Correct
  2. B. 18
  3. C. 6x + 18
  4. D. 12x + 9

Answer: A. 12x + 18

2(x + 3)² = 2(x² + 6x + 9) = 2x² + 12x + 18. Subtracting 2x² leaves 12x + 18.

Why the other answers are wrong

B. 18
18 drops the 12x term produced by the square's middle term.
C. 6x + 18
6x + 18 forgets to multiply the middle term 6x by the 2 outside.
D. 12x + 9
12x + 9 forgets to multiply the 9 by 2.

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