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Advanced MathMediumFactoring out a common binomial

Advanced Math practice question

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

  1. A. (2x + 1)(x + 3)Correct
  2. B. (2x + 3)(x + 1)
  3. C. 2x² + 3
  4. D. (x + 3)²

Answer: A. (2x + 1)(x + 3)

Both terms share the factor (x + 3): (x + 3)(2x + 1).

Why the other answers are wrong

B. (2x + 3)(x + 1)
This expands to 2x² + 5x + 3, not 2x² + 7x + 3.
C. 2x² + 3
This drops the 6x + x terms.
D. (x + 3)²
The other factor is 2x + 1, not x + 3.

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