Advanced MathMediumExpanding and cancelling a squared term
Advanced Math practice question
Which expression is equivalent to 2(x + 3)² − 2x²?
- A. 12x + 18Correct
- B. 18
- C. 6x + 18
- 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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